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-4x+2<-10
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-4x<-10-2
Subtract 2 from both sides.
-4x<-12
Subtract 2 from -10 to get -12.
x>\frac{-12}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>3
Divide -12 by -4 to get 3.