Answer
$x=\frac{c+b}{a}$
Work Step by Step
$ax-b=c$ for $a\ne0$
First, we take b to the right side by adding it to both sides.
$ax-b+b=c+b$
$ax=c+b$
Now, to solve for x, we get rid of its constant, a, by dividing it to all the terms.
$\frac{ax}{a}=\frac{c+b}{a}$
$x=\frac{c+b}{a}$