Answer
$x=\dfrac{c-b}{a}$
Work Step by Step
$a$ is a nonzero constant so both sides of the equation can be divided by $a$.
$$\begin{align*}
ax+b-b&=c-b &\text{Subtract $b$ from each side.}\\
ax&=c-b &\text{Simplify.}\\
\frac{ax}{a}&=\frac{c-b}{a} &\text{Divide $a$ to both sides.}\\
x&=\frac{c-b}{a} &\text{Simplify.}
\end{align*}$$
