The sum of the possible values of X in the equation |X + 7| + |X - 8| = 16 is:

Question

Accepted Answer

1. Expression : ∣ x + 7 ∣ + ∣ x − 8 ∣ = 16 |x + 7| + |x - 8| = 16 ∣ x + 7∣ + ∣ x − 8∣ = 16 Case 1 : x &lt; -7 => − ( x + 7 ) − ( x − 8 ) = 16 -(x + 7) - (x - 8) = 16 − ( x + 7 ) − ( x − 8 ) = 16 => − 2 x + 1 = 16 -2x + 1 = 16 − 2 x + 1 = 16 => x = − 15 2 = − 7.5 x = \frac{-15}{2} = - 7.5 x