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the absolute value is represented by | x |.

| x | = x

| - x| = x

| 5 x + 2 | = 9

5x + 2 = 9

5 x = 9 – 2

5 x = 7

x = 7 / 5

- 5 x – 2 = 9

- 5 x = 9 + 2

- 5 x = 11

- x = 11/ 5

x = -11 / 5

| 8 x – 2| = 2 x

| 8 x – 2| = 2 x

+(8 x – 2) = 2 x

8 x – 2 = 2x

8 x – 2 x = 2

6 x = 2

x = 2 / 6

x = 1 / 3

| 8 x – 2| = 2 x

-(8 x – 2) = 2x

- 8 x + 2 = 2 x

- 8 x – 2 x = - 2

- 10 x = -2

x = 2/10

x=1/5