# How do you solve 3abs(-9 x-7)-2=13?

May 9, 2018

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

$x = - \frac{2}{9}$

#### Explanation:

$3 | - 9 x - 7 | - 2 = 13$

add $+ 2$ for both sides

$3 | - 9 x - 7 | = 15$
divide by 3 both sides

$| - 9 x - 7 | = 5$

so now what is inside the absolute value is equal to 5 and -5 solve it twice

$- 9 x - 7 = 5$ and $- 9 x - 7 = - 5$

$\textcolor{red}{x = - \frac{12}{9} = - \frac{4}{3}}$

and

$- 9 x - 7 = - 5$

$\textcolor{red}{x = - \frac{2}{9}}$

check your answers by substituting the values of x in the original equation and you will get both sides same value so your answer is correct/