# How do you solve -3(-x + 4) = -9 ?

Mar 14, 2018

x=1

#### Explanation:

Expand the left-hand side and then bring all terms to one side and simplify.

$- 3 \left(- x + 4\right) = - 9$
$- 3 \left(- x\right) + \left(- 3\right) \left(4\right) = - 9$
$3 x - 12 = - 9$
$3 x - 12 + 9 = 0$ [Add 9 on both sides]
$3 x - 3 = 0$ [Add like terms]
$3 \left(x - 1\right) = 0$ [Factor out the common term]
$x - 1 = 0$ [Divide throughout by 3]
$x = 1$ [Add 1 on both sides]