You can put this solution on YOUR website! You can remove the absolute value sign by splitting it up into two cases: positive and negative.
For example:
|x+2|=12
becomes
x+2=12 and -(x+2)=12
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For x+2=12:
x = 10
For -(x+2)=12
-x-2=12
x=-14
Therefore, x=-14,10