SAT Math

Answer: E - The sum of solutions of the equation is 24. Use definition of an absolute value:
|x| = x if x≥0 OR -x if xandlt;0

Solve the following equation:
|12 − x| = 12 − x if 12 − x≥0 OR − (12 − x) if 12 − xandlt;0.
Condition: 12 − x≥0⟺x≤12

Solve the following equation:
12 − x = 4⟺x = 8 T
Condition: 12 − xandlt;0⟺xandgt;12

Solve the final equation: − (12 − x) = 4⟺ − 12 + x = 4⟺x = 4 + 12⟺x = 16 T
8 + 16 = 24