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-3x+6+x<0
Combine 3x and -6x to get -3x.
-2x+6<0
Combine -3x and x to get -2x.
-2x<-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x>\frac{-6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>3
Divide -6 by -2 to get 3.