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x+8-4x<-1
Subtract 4x from both sides.
-3x+8<-1
Combine x and -4x to get -3x.
-3x<-1-8
Subtract 8 from both sides.
-3x<-9
Subtract 8 from -1 to get -9.
x>\frac{-9}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x>3
Divide -9 by -3 to get 3.