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