# How do you solve 2|x – 3| - 5 = 9?

Jun 5, 2016

First of all you can have the absolute value on one side and the rest of the numbers on the other:

$2 | x - 3 | - 5 = 9$

$2 | x - 3 | = 9 + 5$

$2 | x - 3 | = 14$

$| x - 3 | = 7$

Then, you can remove the absolute value using the $\setminus \pm$

$x - 3 = \setminus \pm 7$

$x = \setminus \pm 7 + 3$

Then the equation is valid for

$x = 7 + 3 = 10$

and

$x = - 7 + 3 = - 4$.