Question

What is the solution set for |–2x + 16| – 9 = –3

Answer 1

|–2x + 16| – 9 = –3
|–2x + 16| = 6

Answer 2

–2x + 16 = 6
or

–2x + 16 = -6

Answer 3

Bring the -9 to the other side by adding it
|-2x + 16| = -3 + 9
|-2x + 16| = +6
Substract 16 to both sides
|-2x| = -10
|x| = 5

Answer 4

–2x + 16 = 6
-2x = -10
x = 5

or

–2x + 16 = -6
-2x = -22
x = -11