# Rearranging the equation to make x the subject

• December 8th 2012, 01:48 PM
lucky777
Rearranging the equation to make x the subject
Hello, I have a question that I need to rearrange to make x the subject.

a(x-b)=x+c

I tried various ways to make x the subject but I always find that x cancels itself, but I know there is definitely a way to express x without it cancelling out.
If someone can explain this step by step that will be great.
• December 8th 2012, 02:18 PM
richard1234
Re: Rearranging the equation to make x the subject
$ax - ab = x + c$. Move all terms with "x" to one side, and all the constants to the other side.

$ax - x = ab + c$

$x(a - 1) = ab + c$

$x = \frac{ab + c}{a - 1}$