Solve for x
x>6
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96-2x<30+9x
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
96-2x-9x<30
Subtract 9x from both sides.
96-11x<30
Combine -2x and -9x to get -11x.
-11x<30-96
Subtract 96 from both sides.
-11x<-66
Subtract 96 from 30 to get -66.
x>\frac{-66}{-11}
Divide both sides by -11. Since -11 is negative, the inequality direction is changed.
x>6
Divide -66 by -11 to get 6.
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