You can put this solution on YOUR website! you always have two cases with absolute value, first case you just leave it as is and drop absolute value and second case you put a minus in front of the absolute value part
case 1
x+8=12 subtract 8 from each side
x=4
case 2
-(x+8)=12
-x-8=12 add 8 to each side
-x=20 divide each side by -1
x=-20