Question

Solve the following equation. If there are multiple answers, enter each answer separated by a comma. Enter none if there are no solutions. |5x+12|=4

Answer 1

We have an absolute value equation

$|5x+12|=4$

In order to solve it we will have two cases

First case

$5x+12=-4$

we solve for x

$5x=-4-12$$5x=-16$$x=-\frac{16}{5}$

For the second case

$5x+12=4$

we solve for x

$5x=4-12$$5x=-8$$x=-\frac{8}{5}$

ANSWER

x=-16/5

x=-8/5