# How do you solve  | x + 3| = | x - 1| ?

Jun 30, 2017

See below.

#### Explanation:

$| x + 3 | = | x - 1 |$

In absolute value, we want to set one side to $\setminus \pm$ the other.

$| x + 3 | = + | x - 1 |$
This gives no solutions.

$| x + 3 | = - | x - 1 |$

$x + 3 = - x + 1$

$2 x = - 2$

$x = - 1$

This is the only solution.