Solve for x as a positive and negative ...

| 3x - 1/2 | = 3/2

x = 2/3 x = - 1/3

Step-by-step explanation:

| 3x - 1/2 | = 3/2

We have two solutions, one positive and one negative

3x-1/2 = 3/2 and 3x-1/2 = - 3/2

Add 1/2 to each side

3x-1/2+1/2 = 3/2+1/2 and 3x-1/2+1/2 = - 3/2+1/2

3x = 4/2 3x = - 2/2

3x = 2 3x = - 1

Divide by 3

3x/3 = 2/3 3x/2 = - 1/3

x = 2/3 x = - 1/3