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6-9x+5x<30
Add 5x to both sides.
6-4x<30
Combine -9x and 5x to get -4x.
-4x<30-6
Subtract 6 from both sides.
-4x<24
Subtract 6 from 30 to get 24.
x>\frac{24}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>-6
Divide 24 by -4 to get -6.