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