How do I solve equations with varibables on both sides of it?

I'll give you an example:

4x - 4 = x-7

Make sure all the terms with x are on the same side. To do that, subtract x from both sides, and you get:

4x - 4-x = x-7-x

3x - 4 =-7

Now add 4 to both side to give:

3x -4 +4= -7+4

3x = -3

Now, divide both sides by 3 to give:

\frac{3x}{3} = \frac{-3}{3}

x = -1

See?

Or did you mean something else?