# How do you solve |3x + 4| - 5= 3?

Oct 20, 2017

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

#### Explanation:

So the absolute value is either $3 x + 4$ or $- \left(3 x + 4\right)$.

So:

$3 x + 4 - 5 = 3 \text{ " or " } - 3 x - 4 - 5 = 3$

$3 x - 1 = 3 \text{ " or" } - 3 x - 9 = 3$

$3 x = 4 \text{ " or" } - 3 x = 12$

$x = \frac{4}{3} \text{ "or " } x = - 4$