# How do you solve abs(5x)=6?

Jun 28, 2015

Write one equation where 5x is positive and one where 5x is negative. Solve for x.

#### Explanation:

Solve $\left\mid 5 x \right\mid = 6$

Since a number inside absolute value symbols can be positive and negative, we will need two equations.

If 5x is positive:

$5 x = 6$

Divide both sides by 5.

$x = \frac{6}{5}$

If 5x is negative:

$- 5 x = 6$

Divide both sides by -5.

$x = - \frac{6}{5}$

$x = \pm \frac{6}{5}$