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

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Answer 1 · 2018-05-12T21:36:41

$x=43$ or $-77$

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

$x$ 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:

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

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