# How do you solve for x in a(x + b) = c?

Feb 29, 2016

color(blue)(x = (c - ab) /a

#### Explanation:

$a \left(x + b\right) = c$

$a \times \left(x\right) + a \times \left(b\right) = c$

$a x + a b = c$

$a x = c - a b$

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