Question

Which of the following shows a correct solution process for │ x + 8│- 5= 2?

Answer 1

X1=-15
X2=-1
I think this is the answer

Answer 2

see below

Explanation:

│ x + 8│- 5= 2

Add 5 to each side

│ x + 8│- 5+5= 2+5

│ x + 8│= 7

The absolute value has two solutions, a positive and a negative

x+8 = 7 x+8=-7

Subtract 8 from all sides

x+8-8 = 7-8 x+8-8 = -7-8

x = -1 x = -15