Question

Solve for x: |2x + 6| − 4 = 20

Answer 1

2x+6-4=20
2x+2=20
2x=18
x=9

Answer 2

Hint:
1. Add 4 to both sides:
|2x + 6| = 20 + 4

2. Simplify right side:
|2x + 6| = 24

3. Inverse absolute value of both sides:
2x + 6 = ±24

4. Split into two equations:
2x + 6 = 24
2x + 6 = -24

5. Solve each equation separately:

2x = 24 -6
2x = -24 -6

2x = 18
2x = -30

x = 18/2
x = -30/2

x = 9
x = -15

Answer 3

Any questions?