I’ve gotten feedback that all the Chuck Noris imagery in the last video might have been a little bit too overwhelming. So, for this video, I’ve included something a little bit more soothing. So let’s try to simplify some more expressions. and we’ll see we’re just applying ideas that we already knew about. So, let’s say I want to simplify the expression 2(3x + 5). Well, this literally means two “3x + 5”. So, this is the exact same thing as… So this is one “3x + 5”, and then to that, I’m going to add another “3x + 5”. This is literally what 2(3x + 5) means. Well this, is the same thing as… if we’re gonna just have a look right over here, we have now two “3x”. So, we can write it as 2(3x), plus we have two “5”. So, plus 2(5). But, you might say: “Hey Sal, isn’t this just the distributive property that I know from arithmetic? I’ve essentially just distributed the two “2(3x)” plus “2(5)”, And I would tell you: “Yes, it is!” And, the whole reason why I’m doing this, is just to show you that it is exactly what you all already know. But with that out of the way, let’s continue to simplify it. So, when you multiply the 2(3x), you get 6x. If you multiply the 2(5), you get 10. So, this simplifies to 6x + 10. Now, let’s try something that’s a little bit more involved. Once again, really just things that you already know. So, let’s say I had 7(3y – 5) – 2(10 +4y). Let’s see if we can simplify this. Well, let’s work on the left-hand side of the expression. The 7(3y – 5). We just have to distribute the “7”. So, this is gonna be 7 times 3y, which is going to give us 21y, Or, if I had three “y” seven times, this is going to be 21y (either way you want to think about it). And then I have “7” times… We’re going to be careful with the sign. This is “7” times negative 5. “7” times “-5” is “-35”. So, we simplified this part of it. Let’s simplify the right hand side. So, you might be tempted to say: “Oh, “2” times “10” and “2” times “4y”, and then subtract them, and if you do that right and distribute the subtraction, it would work out. But, I like to think of this as… “-2”. And we’re just going to distribute the “-2” times “10”, and then we’re going to distribute the “-2” times “4y”. So, “-2” times “10” is “-20”. (minus 20, right over here). And then “-2” times “4y”… “-2” times “4” is “-8”, so it’s going to be “-8y”. So, let’s write a “-8y” right over here. And are we done simplifying? Well no, there’s a little bit more that we can do. We can’t add the “21y” to the “-35” or the “-20”, because these are adding different things or subtracting different things. But we do have two things that are multiplying “y”. We have the… Let me do them all in this green color. You have 21y, right over here. And then, from that we are subtracting 8y. So 21 of something… If I have 21 of something and I take 8 of them away, I’m left with 13 of that something. So, those are going to simplify to 13y. And then, I have “-35” minus “20”. And so, that’s just going to simplify to “-55”. So, this whole thing simplified, using a little bit of distributive property and combining similar or like terms, we got to “13y – 55”.

## 100 Comments

## Lisa Huckestein

Thank you for doing this. You're helping so much! I have a test tomorrow and this will help me

## Julian Monsalve

I'm not trying to be rude or anything but is it bad that I skipped over some courses because I wanted to learn calculus right away?

## Samantha Chavelas

What do i do when it says 4(3x) x=-3 I need help please help

## Tia Smith

You suck You make no SENCE

## Joel Garcia

Cdlc is here

## Shimanigans

Ayyyy Laputeite!

## dank memes

he needs some milk

## Khadijah habib

Thanks

This really helped a lot

## Cole Colson

ITS SOO FLUFFFYYYY!!!!

## MasMeong

what's with Chuck Norris

## James Schmidt

Thanks I need this for my math class

## tae.bae_wifey

want the left one in the beginning MINUS 5???? I'm really confused right now.

## Mahdi

Ehhhhh

## StoopFilms tv

^_^

## Aim Bree

Thx 😭

## Ness

Sal explains way better than my teacher ^^!

## Melody Miller

Thank you! These videos are greatly helping me to get through college algebra. I really appreciate your time for making these videos. I'm sure you have helped many. Keep up the great work 🙂

## DaRealest 6768

this is still very hard for me

## Candace Ward

your name is Sal?

## Tyler Schmidt

this video is so boring its amazing that I am still alive.

## Oon Han

popping the arrows

## Megan K

I am estatic. I struggled for 2 hours understanding this for class and after watching this video I just got 3 questions back to back right. THANK YOU

## jessica busheri

What? I loved the Chuck Norrises!!

## mAesTRO XX

why did he add together the 20 and 35??

## rani

i'm in third grade and i have to do harder problems

but this helped me

## Pinky Marie

Khan should just go ahead and start an online home schooling service

## Tamara Orozco

what about 6y-y or -8a-2a?

## Pl Lp

anyone know how to do this with a number that has exponents?

## Phillip

Wow, young America "stop being so overwhelmed", its annoying thank you Sal your videos are incredibly helpful.

## Kirey Magauya

Thank you so much my math teacher just doesn't teach me anything he tells me to teach "yourself"

## Aalia Shahab

wait is this simplifying polynomials and also distributive property?

## starfinn

Con Academy

## Accio Sleep

1,000th like :3. Thanks for helping me pass my math quiz 😀

## Karrots K

They're asking me to simplify (12 + m ) + 4

Totally confused, this video hasn't solved my problem. 🙁

## Mr. Night

I'm 13 jus' checking up after the summer

## Shuhrat Kessikbayev

Okay my work question are this

1: x+x+x+1+x squared+x squared+x squared+1+1+1+1

How do I simplify this expression HEEEEEEEEEEEEEEEEEEELP

## Deleted channel

Lol! Today in math we watched your "Chuck Norris" video and everybody was laughing so hard!! p.s. helpful video.

## Slypex Guy

Be my math teacher

## Barbara Salazar

HE PUT "NOT CHUCK NORRIS" IM MUERTO HAHA!!!!!

## Feeling Football?

I don’t learn anything from my maths teacher he sucks so I come here instead. Thanks a lot Khan Academy 🙏

## TeddyBearGaming

to much not chuck noreses

## Miranda Lee-Velazquez

Chuck Norris' got a little overwhelming! Lmao. 😀

## speedy cheetah

Its better than my teacher but I still dont understand

## aubrey call

Can you do Birds or foxes/wolves?

## Strucid Fan

thank you Sal your academy is excellent

## Eliana__ S

omg i was so confused. thx so much sal u just saved me

## Isaias Garcia

hi

## Hannah Johnson

Your way more helpful than my teacher

## Gacha Gamer

I still don't get it.

## Justin Markushewski

screw math taechers

## jacqueline flores

Thank u u get everything now

## Kacper Bizub

So simple and great. Thanks Sal!

## mark freeland

#very helpful

## Konner Kloentrup

do you guys have to watch this for school

## The Rookie

But what about

3(3x-6)+5(4x-2)?

Its the longer, multi step problems that get me.

Using distribution and combining like terms to simplify: Univariate

## Interstellar Whale

it's still confusing as hell. this is why i dropped math/Algebra, i could not get past this point.

## ttv louie

My brain has popped

## Jason Hansen

you can never have too much Chuck Norris

## Rachel

I've watched this video 5 times and still don't understand.

## obey ken

Thanks

## Booker Hamilton

I like chuck Norris

## paulocleon

I liked the Chuck Norris approach… I mean if you think about it he's a kind of reliable character.

## Sara

What is 16-4(n-4). Help me solve please

## Sua Beoni93

Started High-school this year, I have trouble with addition and subtraction HAHAHA

## javeria imran

I was so ready for math then I heard him say chuck Norris and I couldn’t be serious after that

## Chucho's World YT

Can you put Arnold schwarzenegger for your video. Cuz I wanna say hasta la vista baby to my math by terminating it.

## JADA P

You move to fast

## Faith (student) Devens

This is a great video… I watched it for my 7th grade Pre-Algebra test for studying! very helpful

## Leonidas Mitsas

thanks i acing my tests

## Fun_morning games

What is 3(2z – 7) = 5z + 17 + z

I NEED HALP

HERE'S MAH WORK…

6z – 21 = 5z + 17 + z

6z – 21 = 6z + 17

– 6z -6z

-21 = 17

+21 = +21

0= 38. I know it's wrong! I need help what's the answer how do you do this one? Answer please I beg!

## Isabella Beltran

You explain it way easier than any of my math teacher so thank god for you :O

## Sann Mateo

this just saved me and my math homework

## Saeed Albachir

THANK YOU I was confused when I did problems in class like the last one you solved THANKS

## Sumaiyah Jones

AMAZING## Asim Shaik

noice 2018

## Dana Franchitto

Thank you, I found yhis helpful but please, what does the macho idiocy of Chuck Norris have to do with the beauty of math to begin with?

## Azeb Desta

This is kinda hard:p

## ItzMichaelPhillips

I love how dated this video is with that Chuck Norris reference.

## Random

you pretty much saved my life in pre algebra

## Santiago Martinez

this dude i wish he was my math teacher lol

## 0_0

Mental abuse to humans =math

## WolfBloodFighter

I’m super confused…..this is what I have to do: 4(4 – 4m) +8(1 + 7m) How the hell am I supposed to do that? High school sucks

## CREATIVE MINDS

That's smart

## Ronal Nieto

My man needs a sprite cranberry

## Heather Reyes

I always come to khan academy when I don’t listen in class🤣

## Twitch. EvRy

I have trouble in class bc of a girl I like so it’s hard for me to focus and I have a test tomorrow so thank you for the help 🙏

## W Locklear

Me is dumb not helping

## Mining Sim Gamer

Polar Bear+100000000000% CHUCK NORRIS!!

## Mike Church

God bless you and your family my dear friend

## Fredy Cardona

My mature side: This is quality help with math. Thank you!

my not mature side lol: meth hue

## ETHAN ROBINSON

I still don't understand.

## AnbuTahj777

I'm stressing out. Math is so confusing. I have two assignments due tomorrow night and I forgot we had a unit test yesterday which I did okay in thank Jesus but its just so confusing. Ugh. And I want to be good at physics. :/

## Lee Eckhouse

Ok, This is epic

## Hamza AlKhatib

What a god lmao, any 2019 viewers?

## moony weasly

You seemed angry

## Will Jonathan

It seems like you mixed up your wording while explaining this expression, which made simplifying it confusing. When you originally wrote out 7(3y-5), you explained it as "7 times 3y minus 5". But, when you went to simplify it, you explained it as "7 times 3y times -5". Those are two completely different things with different simplifications.

## Sarah Monroe

Thanks so much 😭♥️

## Csenik

hahah lol, give a cookie

## Isaam Samiuddin

why can't we all have a teacher like Sal

## Master Games

thanks it is so good

thank you soo soo soo soo much