Question

PLEASE HELP

[02.03] 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

x = 9 & x= -15

that's the answer

work by work:

|2x + 6| = 24
2x + 6 = +-24

1. 2x + 6 = 24
2x = 24 - 6
2x = 18
x = 18 ÷ 2
x = 9

2. 2x + 6 = -24
2x = - 24 - 6
2x = -30
x = -30 ÷ 2
x = -15

Answer 2

x = 9 and x = −15

Explanation:

|2x + 6| − 4 = 20

Add 4 to each side

|2x + 6| − 4+4 = 20+4

|2x + 6| = 24

Now we have an absolute value equation that has the absolute value isolated. We can separate them, have two equations, one positive and one negative.

2x+6 =24 and 2x+6=-24

Subtract 6 from each side

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

2x = 18 2x =-30

Divide by 2

2x/2 = 18/2 2x/2 = -30/2

x =9 x=-15