You can put this solution on YOUR website! We know that what is between the "|"'s must equal 32. Therefore, the number inside the "|"'s can be either a positive or a negative (32 or -32). This generates two problems.
|-4x|=32 AND |4x|=32
4x=32 AND 4x=-32
Solve for both! AND AND
x = 8 and -8