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

Answer:

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

Step-by-step 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!