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

Nov 20, 2016

$x = 5$ and $x = 1$

#### Explanation:

First, isolate the absolute value term on the left side of the equation:

$\left\mid x - 3 \right\mid + 1 - 1 = 3 - 1$

$\left\mid x - 3 \right\mid = 2$

Next solve the term within the absolute value for both 2 and -2#

$x - 3 = 2$

$x - 3 + 3 = 2 + 3$

$x = 5$

and

$x - 3 = - 2$

$x - 3 + 3 = - 2 + 3$

$x = 1$