so rmeember abaolute value means makes inside positive
so what you do is
if
|x|=y
assume that
x=y and x=-y
so
first get absolute value by itself
|x-2|+10=12
minus 10 both sides
|x-2|=2
now assume
x-2=2 and x-2=-2
solve each
x-2=2
add 2
x=4
x-2=-2
add 2
x=0
x=4 and 0
answer is A
