Question

WILL FAN AND MEDAL
Can someone PLEASE help me with this! I'm really behind in class and I need to catch up before Winter break is over! :(((

Answer 1

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
Megan solved a similar equation below. Is Megan's solution correct? Explain why or why not.
3(2x − 4) = 5x − 1
6x − 12 = 5x − 1
11x − 12 = –1
11x = 11
x = 1

Answer 2

this is really urgent and really important! I really want to learn how to do these.

Answer 3

eheee, big nono and a X incorrect, she added 5x instead of subtracting it.

Answer 4

@steve816 could you please explain to me how to do these types of problems?? Then I won't need to bother anyone on Openstudy.

Answer 5

For example... this one.
5x − 4 = –2(3x + 2)

Answer 6

Use simple arithmetical logic. That is all I'm going to say.

Answer 7

thing is, I know how to solve those equations that have the x on one side.. but I don't know how to find ONE x from TWO?? :(

Answer 8

@steve816 please I really need your help! :(

Answer 9

@Daniellelovee please can ANYONE help. I'm legit about to cry, this isn't funny anymore. I'm for real trying to learn something but no one will help me.

Answer 10

The worst thing you can do is freak out.
You need to take it step by step.
If I have 4 = x + 5, how do we solve for x? We must isolate it, right? Get it by itself? And to do that, that would mean we would have to move the 5 over to the other side. But we can't add it, because that would mean that we end up with a 10 on the right. So therefore we subtract the 5. On the right side, the 5 goes away, and the left side becomes -1 (because 4 - 5 is -1).

SIMILARLY, we do the same thing for variables.
If I have 4x = 2x + 2, I can start by isolating x. To do that, I must do what I did before in a similar fashion. By subtracting both sides by 2x, the left side becomes 2x and the right side just becomes 2. Therefore, 2x = 2. Solving for x by dividing both sides by 2, we get x = 1.

This algebraic simplification is paramount to solving the problem that you originally posted.

Answer 11

5x-4= -2(3x+2)
5x-4= -6×-4 (using distributive law)

Answer 12

Add both sides 6x simplify it

Answer 13

R u doing

Answer 14

5x − 4 = –2(3x + 2)

try to expand the right-hand-side first

Answer 15

11x-4 =-4

Answer 16

11x=0

Answer 17

Then
X=0

Answer 18

@dayakar wow, thank you so much!!! this actually helped. I totally get it now! I didm know I was supposed to use the distributive law to do this. I guess thats where I was stuck at. thank you so much! at least someone helped.
5x-4= -2(3x+2)
5x-4= -6×-4

Answer 19

@nincompoop @cshrix thanks for trying to help me. I know I shouldn't freak out, but my parents are being too hard on me and I know that if I don't learn this stuff soon, I'll be dead within a few days.(not literally, but you know what I mean)