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=-(16)/(5)`

For the second case

`5x+12=4`

we solve for x

`5x=4-12`
`5x=-8`
`x=-(8)/(5)`

ANSWER

x=-16/5

x=-8/5