Question

Solve for x: |2x + 12| = 18 (5 points) x = 3, x = −3 x = 3, x = −15 x = 15, x = −15 x = −3, x = 15

Answer 1

`x=3\text{ or } x=-15`

Explanation:

So we have the equation:

`|2x+12|=18`

Definition of Absolute Value:

`2x+12=18\text{ or } 2x+12=-18`

Subtract 12 from both sides for both equations:

`2x=6\text{ or } 2x=-30`

Divide both sides by 2 for both equations:

`x=3\text{ or } x=-15`

And we're done!