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