# How do you solve for x in ax+b=c ?

Apr 16, 2018

$\implies x = \frac{c - b}{a}$

#### Explanation:

$a x + b = c$

First, subtract $b$ from both sides:

$a x \cancel{+ b} \cancel{\textcolor{b l u e}{- b}} = c \textcolor{b l u e}{- b}$

$a x = c - b$

Now divide both sides by $a$:

$\frac{\cancel{a} x}{\cancel{\textcolor{b l u e}{a}}} = \frac{c - b}{\textcolor{b l u e}{a}}$

$\implies x = \frac{c - b}{a}$