3|2x-3|=3
Solve for x over the integers:
3 abs(2 x-3) = 3
Divide both sides by 3:
abs(2 x-3) = 1
Split the equation into two possible cases:
2 x-3 = 1 or 2 x-3 = -1
Add 4 to both sides:
2 x = 4 or 2 x-3 = -1
Divide both sides by 2:
x = 2 or 2 x-3 = -1
Add 2 to both sides:
x = 2 or 2 x = 2
Divide both sides by 2:
Answer: |
| x = 2 or x = 1