Answer
{$-4,8$}
Work Step by Step
Using the rules for absolute values to generate two equations, we obtain:
Step 1: $|x-2|=6$
Step 2: $x-2=6$ and $x-2=-6$
Step 3: $x=6+2$ and $x=-6+2$
Step 4: $x=8$ and $x=-4$
Therefore, the solution set for the equation is {$-4,8$}.
