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