If f(x) = |2x - 6|, for what values of x does f(x) = 10?

Set $|2x-6|=10$ and split into two cases. If $2x-6=10$, then $2x=16$ and $x=8$. If $2x-6=-10$, then $2x=-4$ and $x=-2$. The solutions are $8$ and $-2$, choice J. Check: $|2(8)-6|=10$ and $|2(-2)-6|=|-10|=10$. Choice F ($8$ only) and choice H ($-2$ only) each give just one solution. Choice G ($2$ or $-8$) has the signs reversed: $|2(2)-6|=2$, not $10$. A positive absolute value equation has two solutions, one from each case. Both solutions must be reported.