# How do you solve |x - 1| = |2x + 2|?

Jul 16, 2016

$x = - \frac{1}{3}$ and $x = - 3$

#### Explanation:

$| x - 1 | = | 2 x + 2 |$
is expandable into two non absolute value equations

1)
$x - 1 = 2 x + 2 \to x = - 3$

2)
$x - 1 = - 2 x - 2 \to x = - \frac{1}{3}$

both are feasible solutions