# How do you solve the equation abs(3x+6)=9?

Apr 17, 2017

$x = 1 \text{ or } x = - 5$

#### Explanation:

When working with absolute values the final answer is given as a positive value, but you have to consider that it could have come from a positive or negative number.

There will be 2 possible solutions for the variable.

Case 1

$3 x + 6 = + 9$
$3 x = 9 - 6$
$3 x = 3$
$x = 1$

Case 2

$3 x + 6 = - 9$
$3 x = - 9 - 6$
$3 x = - 15$
$x = - 5$

Both of these solutions will give a final answer of $9$.

$\left\mid + 9 \right\mid = 9 \text{ " and" } \left\mid - 9 \right\mid = 9$