Question

Solve for x: |2x + 6| − 4 = 20 x = 9 and x = 11 x = −9 and x = 15 x = 9 and x = −15 No solution

Answer 1

|2x + 6| - 4 = 20

x = 9: |2x + 6| - 4 = 20
|2(9) + 6| - 4 = 20
|18 + 6| - 4 = 20
|24| - 4 = 20
24 - 4 = 20
20 = 20

x = 11: |2x + 6| - 4 = 20
|2(11) + 6| - 4 = 20
|22 + 6| - 4 = 20
|28| - 4 = 20
28 - 4 = 20
24 ≠ 20

x = -9: |2x - 6| - 4 = 20
|2(-9) - 6| - 4 = 20
|-18 - 6| - 4 = 20
|-24| - 4 = 20
24 - 4 = 20
20 = 20

x = 15: |2x - 6| - 4 = 20
|2(15) - 6| - 4 = 20
|30 - 6| - 4 = 20
|24| - 4 = 20
20 = 20

x = -15: |2x - 6| - 4 = 20
|2(-15) - 6| - 4 = 20
|-30 - 6| - 4 = 20
|-24| - 4 = 20
24 - 4 = 20
20 = 20

The answer to x is equal to 9, 15, -9, and -15.