Answer:
x = 2/3 x = -1/3
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