# How do you solve |2x + 3| + 6= 11?

Apr 17, 2017

$x = 1 , x = = 4$

#### Explanation:

The answer is not as simple as it seems. When dealing with absolute value questions you need to do case 1 and case 2 (positive and negative values within the brackets).

Case 1

$\left(2 x + 3\right) + 6 = 11$

$2 x + 9 = 11$

$2 x = 2$

$x = 1$

Case 2

$- \left(2 x + 3\right) + 6 = 11$

$- 2 x - 3 + 6 = 11$

$- 2 x = 8$

$x = - 4$