# How do you solve abs(-8x + 4)= 6x + 8?

Jun 3, 2018

$x = 6$ or $x = - \frac{2}{7}$

#### Explanation:

Writing your equation in the form
$2 | - 4 x + 2 | = 2 \left(3 x - 4\right)$
so we have
$| - 4 x + 2 | = 3 x + 4$
or

$| 4 x - 2 | = 3 x + 4$
If we have $x \ge \frac{1}{2}$
so we get
$4 x - 2 = 3 x + 4$
so $x = 6$

In the case that $x < \frac{1}{2}$ we get

$- 4 x + 2 = 3 x + 4$

we get

$7 x = - 2$

so $x = - \frac{2}{7}$