# How do you graph and solve 2|x – 3| - 5 = 9?

Mar 31, 2016

You have to first isolate the absolute value.

#### Explanation:

$| x - 3 | = 7$

You must now consider two scenarios; the absolute value is positive or negative.

Positive:

$x - 3 = 7$

$x = 10$

Negative:

$- \left(x - 3\right) = 7$

$- x + 3 = 7$

$- x = 4$

$x = - 4$

The solution set is $\left\{x = 10 , - 4\right\}$.

Hopefully this helps!