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x-5-2x<-4
Subtract 2x from both sides.
-x-5<-4
Combine x and -2x to get -x.
-x<-4+5
Add 5 to both sides.
-x<1
Add -4 and 5 to get 1.
x>-1
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.