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3x-5-4x<-6
Subtract 4x from both sides.
-x-5<-6
Combine 3x and -4x to get -x.
-x<-6+5
Add 5 to both sides.
-x<-1
Add -6 and 5 to get -1.
x>\frac{-1}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x>1
Divide -1 by -1 to get 1.