## Elementary Algebra

{$-4,8$}
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 {$-4,8$}.