# How do you solve |x+6|=21?

Dec 7, 2016

$x = 15$ and $x = - 27$

#### Explanation:

Because this equation uses the absolute value function we must solve for the term within the absolute value function for $21$ and for $- 21$:

$x + 6 = 21$ and $x + 6 = - 21$

$x + 6 - 6 = 21 - 6$ and $x + 6 - 6 = - 21 - 6$

$x + 0 = 15$ and X + 0 = -27#

$x = 15$ and $x = - 27$