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-12x+6+10x<-2
Add 10x to both sides.
-2x+6<-2
Combine -12x and 10x to get -2x.
-2x<-2-6
Subtract 6 from both sides.
-2x<-8
Subtract 6 from -2 to get -8.
x>\frac{-8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>4
Divide -8 by -2 to get 4.