Solve for x: |2x + 6| - 4 = 20

Solution:

Given |2x + 6| - 4 = 20

Case(i): When 2x + 6 is positive

2x + 6 - 4 = 20

2x + 2 = 20

2x = 18

x = 9

Case(ii): When 2x + 6 is negative

-(2x + 6) - 4 = 20

-2x - 6 - 4 = 20

-2x = 30

x = -15

Solve for x: |2x + 6| - 4 = 20

Summary:

By solving |2x + 6| - 4 = 20, we get solutions as 9, -15.