# How do you solve a multi step algebraic equation, that includes a absolute value abs( 3x - 1)= 13?

Jul 9, 2018

$x = \frac{14}{3}$ and $x = - 4$

#### Explanation:

We can rewrite our equation without the absolute value signs like the following:

$3 x - 1 = 13$ and $3 x - 1 = - 13$

We create two equations with a positive and negative solution. To both, let's add $1$ to both sides to get

$3 x = 14$ and $3 x = - 12$

Divide both sides of both equations by $3$, and we get

$x = \frac{14}{3}$ and $x = - 4$

Hope this helps!