anonymous
  • anonymous
3(2+x)=12
Mathematics
chestercat
  • chestercat
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zzr0ck3r
  • zzr0ck3r
divide both sides by 3, and you have what?
ellamallow
  • ellamallow
First you would multiply 2 and x by 3 and you would get (6+3x)=12
zzr0ck3r
  • zzr0ck3r
I think it is easier to divide both sides by 3, then you have x+2=4

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zzr0ck3r
  • zzr0ck3r
but either way works :)
ellamallow
  • ellamallow
Well that is not how I was shown to do it.. But yeah I guess...
anonymous
  • anonymous
Wait what?!?!?!
ellamallow
  • ellamallow
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anonymous
  • anonymous
After the 3x =6 what do i do
ellamallow
  • ellamallow
divide 3x AND 6 by 3 to get x by itself, then you get the answer. x= ?
anonymous
  • anonymous
X=3??
anonymous
  • anonymous
I'm so confused
zzr0ck3r
  • zzr0ck3r
This is how I would do it. \[3(x+2)=12\] We want to get \(x\) by itself on one side. Firsts I would divide away the \(3\) \[\frac{3(x+2)}{3}=\frac{12}{3}\\\frac{\cancel{3}(x+2)}{\cancel{3}}=4\\ \\x+2=4\] Now we want to subtract \(2\) from both sides, so that \(x\) is by itself. \[x+2-2=4-2\\x=4-2\\x=2\]
ellamallow
  • ellamallow
sorry, my handwriting on the computer is horrible as well, that didn't help.
anonymous
  • anonymous
Omg Thats worse! I'm so lost! Sorry guys 😩
ellamallow
  • ellamallow
Okay, sorry. I really tried to help >.<
anonymous
  • anonymous
Its okay I appreciate it so much
anonymous
  • anonymous
Hi! I'm pretty new but I might be able to help... What you're looking at there in this equation is something called "Distributive property." see the 3(2+x) ? Thats' it! That's going to be the key to this problem. It gets its name from having to distribute whatever number is outside the parentheses. In this case, you would distribute the 3 into the 2, and the x. So take your three, and the two. Multiply them together. What do you get? 6. Now, do the same with the x.
anonymous
  • anonymous
Okay i get 3 if I do 3* X
zzr0ck3r
  • zzr0ck3r
Which part of my explanation are you confused by?
anonymous
  • anonymous
All of it
anonymous
  • anonymous
Yep! Perfect! Do you know what you get when you multiply 3 and x together?
anonymous
  • anonymous
3 because x = 1
anonymous
  • anonymous
I know that stuff but writing it out is confiding me
zzr0ck3r
  • zzr0ck3r
it is not that \(x=1\) it is \(x=1x\)
anonymous
  • anonymous
Not quite... In this case, we won't be treating it as a 1, instead we will treat it as just a plain x. In this case, all you would need to do is put a three next to the x! So you would end up with 3x : >
zzr0ck3r
  • zzr0ck3r
@enderkitty29 some people like to think if there being a 1 in front of an x when there is no coefficient.
anonymous
  • anonymous
Okay can you show how i would write that please
anonymous
  • anonymous
So far i have 3(2+x)=12 6+3 = 12
anonymous
  • anonymous
Ah, you're very right zzr0ck... Forgot to take into account the other ways of looking at the problems.
anonymous
  • anonymous
Wait a minute Kaitlyn, there is something a bit off about what you have so far. You are missing an x in the equation! Do you know where it should be?
anonymous
  • anonymous
3x?
anonymous
  • anonymous
Perfect! The x is a very important part of the equation. Without it, you won't be able to solve it : )
anonymous
  • anonymous
Okay what is the next step
anonymous
  • anonymous
Now, we want to try and get the x all by itself! In this case, we must subtract something from both sides. What do you think we should subtract?
anonymous
  • anonymous
What happens to that 3 on the outside of the ()
anonymous
  • anonymous
3? From 12 and
anonymous
  • anonymous
The three is no longer there, since you multiplied the two numbers by three inside the parentheses. It's almost like canceling it out, so you don't need to worry about it anymore :)
anonymous
  • anonymous
Okay so I subtract 3 from 3x and 12?
anonymous
  • anonymous
Nope, not the three. Make sure to remember your equation is 6 + 3x = 12.
anonymous
  • anonymous
We are trying to get the x all by itself first. What do you need to take away from the left side of the equation to do this?
anonymous
  • anonymous
So? 6?
anonymous
  • anonymous
Perfect! Since you are going to subtract the 6 from the left side, you need to do this to the right side. What does our equation look like now?
anonymous
  • anonymous
3(2+x)=12 6+3x =12 -6 -6
anonymous
  • anonymous
Perfect! So far, we should end up with 3x = 6
anonymous
  • anonymous
Do you understand why its 6 on the right side?
anonymous
  • anonymous
Because whatever you do to one side you do to the other
anonymous
  • anonymous
Right on! Now, only one more step. Almost done. Do you see the 3x? That means 3 * x
anonymous
  • anonymous
We still need the x by itself, so we need to get the three out of there somehow. Do you know how to do that?
anonymous
  • anonymous
6÷3?
anonymous
  • anonymous
Wonderful job! Thats correct!
anonymous
  • anonymous
So what do we end up with overall? What does our equation look like now?
anonymous
  • anonymous
X=2?
anonymous
  • anonymous
Yep! You got it! There is your answer : )
anonymous
  • anonymous
Omg thank you!!!! Of its not to much to ask i need one more to be finished
anonymous
  • anonymous
I can totally help!
anonymous
  • anonymous
Thank you!!! 5-2(x-4)=20
anonymous
  • anonymous
Alright! Remember the thing we did in our last equation called distributive property? We are going to do that here again! What do you think we should do first?
anonymous
  • anonymous
Subtract 2 on each side?
anonymous
  • anonymous
Nope! I'll give you a hint. It has to do with the -2(x-4).
anonymous
  • anonymous
Or 4
anonymous
  • anonymous
Remember what we did last time with the distributive property : )
anonymous
  • anonymous
You add 4
anonymous
  • anonymous
Nope! -2(x-4). What do we do with the negative two?
anonymous
  • anonymous
Multiply
anonymous
  • anonymous
Yeah! What are we going to multiply?
anonymous
  • anonymous
-2
anonymous
  • anonymous
Wonderful! So lets take the -2 and the x, and multiply them together. What do we get?
anonymous
  • anonymous
-2x?
anonymous
  • anonymous
Yeah! Now lets do -2 and -4.
anonymous
  • anonymous
-6?
anonymous
  • anonymous
Nope! Multiply them together, don't add. Remember what happens when you multiply two negatives with each other : )
anonymous
  • anonymous
It becomes a positive?
anonymous
  • anonymous
Right on! So what is -2 * -4 then?
anonymous
  • anonymous
8
anonymous
  • anonymous
Yep! So what does our equation look like now that we distributed the -2?
anonymous
  • anonymous
5-2(x-4)=20 2x + 8 =20
anonymous
  • anonymous
You forgot two things! First, you forgot to keep the 5 in the equation : ) Second, there should be a negative in front of the 2x. So, our equation should look like this: 5 - 2x + 8 = 20
anonymous
  • anonymous
Got it?
anonymous
  • anonymous
Oops yeah
anonymous
  • anonymous
No worries, lets move on! Now, we will be doing something called "Combining like terms." This means to take numbers that are similar, and add them together! Do you see any similar numbers here?
anonymous
  • anonymous
5? 8?
anonymous
  • anonymous
Perfect! Now add those together, and what do you get?
anonymous
  • anonymous
13
anonymous
  • anonymous
So how would i write that down
anonymous
  • anonymous
Okay, good. Now that we added the 5 and 8 together, we are going to have 13 - 2x = 20
anonymous
  • anonymous
13 - 2x = 20 (it got cut off a bit, had to rewrite it)
anonymous
  • anonymous
Do you understand why we added them together and got what we got?
anonymous
  • anonymous
Yes because we are trying to get x alone
anonymous
  • anonymous
Perfect! What do you think we should do next?
anonymous
  • anonymous
13-20? Or 2x-20
anonymous
  • anonymous
20 - 13 : )
anonymous
  • anonymous
After that, what does our equation look like?
anonymous
  • anonymous
-2x=20
anonymous
  • anonymous
Oops nope
anonymous
  • anonymous
-2x = 7
anonymous
  • anonymous
Yep! There we go. What do we do now?
anonymous
  • anonymous
2÷7
anonymous
  • anonymous
Perrrrrfect! Now, you can either leave it as 7/2 or 4.5
anonymous
  • anonymous
What does the paper say?
anonymous
  • anonymous
I for 3.5
anonymous
  • anonymous
I got 3.5
anonymous
  • anonymous
Yep! 3.5 That's what I ment lol. Finger slipped : )
anonymous
  • anonymous
Its Okay Omg thank you so much!!!!!!!
anonymous
  • anonymous
You're very welcome! You're a very fast learner : ) Keep up the good work and glad I could help!

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