Answer:
[tex]x=3\text{ or } x=-15[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|2x+12|=18[/tex]
Definition of Absolute Value:
[tex]2x+12=18\text{ or } 2x+12=-18[/tex]
Subtract 12 from both sides for both equations:
[tex]2x=6\text{ or } 2x=-30[/tex]
Divide both sides by 2 for both equations:
[tex]x=3\text{ or } x=-15[/tex]
And we're done!
