# How do you solve  |x – 6| = 10?

Jun 18, 2018

$x = 16$ or $x = - 4$

#### Explanation:

$\left\mid x - 6 \right\mid = 10$
In absolute values, the interior could be either positive or negative, so we must consider both cases.
$x - 6 = 10$ or $- \left(x - 6\right) = 10$
$x - 6 = 10$ or $- x + 6 = 10$
Isolate x from all other numbers:
$x = 16$ or $- x = 4$
$x = 16$ or $x = - 4$