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12x-6>9x
Anything plus zero gives itself.
12x-6-9x>0
Subtract 9x from both sides.
3x-6>0
Combine 12x and -9x to get 3x.
3x>6
Add 6 to both sides. Anything plus zero gives itself.
x>\frac{6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x>2
Divide 6 by 3 to get 2.