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-4x-8<-12
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-4x<-12+8
Add 8 to both sides.
-4x<-4
Add -12 and 8 to get -4.
x>\frac{-4}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>1
Divide -4 by -4 to get 1.