# How do you solve abs(x+17)+10=70?

May 12, 2018

$x = 43$ or $- 77$

#### Explanation:

$| x + 17 | + 10 = 70$
$| x + 17 | = 70 - 10$
$| x + 17 | = 60$

$x$ can have two answers, where $x$ positive
or $x$ is negative

First, when $x$ is positive:

$| x + 17 | = 60$
$| x | = 60 - 17$
$x = 43$

Next, when $x$ is negative:

$| x + 17 | = - 60$
$x + 17 = - 60$
$x = - 60 - 17$
$x = - 77$