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-2x+6<-8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-2x<-8-6
Subtract 6 from both sides.
-2x<-14
Subtract 6 from -8 to get -14.
x>\frac{-14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>7
Divide -14 by -2 to get 7.