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6x-3-3x>-2
Subtract 3x from both sides.
3x-3>-2
Combine 6x and -3x to get 3x.
3x>-2+3
Add 3 to both sides.
3x>1
Add -2 and 3 to get 1.
x>\frac{1}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.