# How do you solve abs(- 4x - 5) + 7= 10?

Dec 5, 2016

$x = - 2 \mathmr{and} x = - \frac{1}{2}$

#### Explanation:

You can get the equivalent equation:

$| - 4 x - 5 | = 3$

and then consider that it's solved by:

$- 4 x - 5 = \pm 3$

whose solutions are given by:

$4 x = - 5 - 3 \mathmr{and} 4 x = - 5 + 3$

then $x = - 2 \mathmr{and} x = - \frac{1}{2}$