# Math Help - I need help solving for x?

1. ## I need help solving for x?

I have gotten to this point on my problem:

(x-4)/(x-2)=4

multiply both sides by (x-2):

x-4=4(x-2)

expand left side:

x-4=4x-8

x+4=4x

and here im stuck. Can i subtract an "x" from both sides to get an answer of 4/3? or do i have to subract 4 from both sides and divide by x?? im so confused

2. Originally Posted by nascar77
I have gotten to this point on my problem:

(x-4)/(x-2)=4

multiply both sides by (x-2):

x-4=4(x-2)

expand left side:

x-4=4x-8

x+4=4x

and here im stuck. Can i subtract an "x" from both sides to get an answer of 4/3? Mr F says: Yes.

or do i have to subract 4 from both sides and divide by x?? im so confused Mr F says: I don't know why you would think this. The answer is NO.
..

3. Remember that $ab - ac = a(b - c)$ !

In fact, combining like terms is basically doing a quick factorization, if you look close enough