Solve |x - 6| + 8 = 17

|x - 6| + 8 = 17

Subtract 8 from both sides.

|x - 6| + 8 - 8 = 17 - 8

|x - 6| = 9

Set x - 6 to 9 and -9, which leads to two cases.

x - 6 = 9

x = 9 + 6

x = 15

x - 6 = -9

x = -9 + 3

x = -6

Which is the answer?

Plug both values into the original absolute value equation to see which yields a true statement.

Let x = 15

|15 - 6| + 8 = 17

|9| + 8 = 17

9 + 8 = 17

17 = 17

Let x = -6

|-6 - 6| + 8 = 17

|-12| + 8 = 17

12 + 8 = 17

20 DOES NOT EQUAL 17.

x = 15

it is b)

hope this : )

step-by-step explanation: