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3x-9-8x>6
Subtract 8x from both sides.
-5x-9>6
Combine 3x and -8x to get -5x.
-5x>6+9
Add 9 to both sides.
-5x>15
Add 6 and 9 to get 15.
x<\frac{15}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x<-3
Divide 15 by -5 to get -3.