Question

Solve x in 2|x+ 6| + 9 = 19

Answer 1

Answer has two solutions: x = -11, x= -1

2|x+6| + 9 = 19
2|x+6| = 10
(Divide 2 on both sides to get rid of multiplication)
|x+6| = 5

|x+6| = 5
|x+6| = -5

Solving positive one first:

|x+6| = 5
x+6 = 5
x = -1

|x+6| = -5
x+6 = -5
x = -11

Answer has two solutions: x = -11, x = -1

Answer 2

Answer: x=-1

Step by step:

2|x+6|+9=19

Subtract 9 from both sides.

2|x+6|=10

Divide both sides by 2

|x+6|=5

Use the definition of absolute value.

x+6=5

Subtract 6 on both sides

x=-1

Hope this helped! :)