what is the sum of the solutions of the equation

Question

|2x-7|=11?

A) -9
B) -7
C) 5
D) 7
E) 9

***What is the most efficient way to solve this?

Answer 1

|2x-7|=11

2x-7 = 11 OR -2x+7 = 11
2x = 18 OR -2x = 4
x = 9 OR x = -2

so the sum of the solutions is 9-2 = 7

Answer 2

another way

Answer 3

not good way to silve this