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24-4x-5x<-12
Subtract 5x from both sides.
24-9x<-12
Combine -4x and -5x to get -9x.
-9x<-12-24
Subtract 24 from both sides.
-9x<-36
Subtract 24 from -12 to get -36.
x>\frac{-36}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x>4
Divide -36 by -9 to get 4.