# How do you solve  |3-6x|=15?

Sep 11, 2016

$x = - 2$ or $x = 3$

#### Explanation:

As $| 3 - 6 x | = 15$

either $3 - 6 x = 15$ i.e. $- 6 x = 15 - 3 = 12$ i.e. $x = \frac{12}{- 6} = - 2$

or $- 3 + 6 x = 15$ i.e. $6 x = 15 + 3 = 18$ i.e. $x = \frac{18}{6} = 3$

Hence either $x = - 2$ or $x = 3$