# How do you solve abs(1/4x-5)=8?

Jun 5, 2018

$x = 52 , x = - 12$

#### Explanation:

To solve this you must solve two equations:

$\left\mid \frac{1}{4} x - 5 \right\mid = 8$

$\frac{1}{4} x - 5 = \pm 8$

$\frac{1}{4} x = 5 \pm 8$

$x = 4 \left(5 \pm 8\right)$

$x = 20 \pm 32$

$x = 52 , x = - 12$