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x+3-3x<-7
Subtract 3x from both sides.
-2x+3<-7
Combine x and -3x to get -2x.
-2x<-7-3
Subtract 3 from both sides.
-2x<-10
Subtract 3 from -7 to get -10.
x>\frac{-10}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>5
Divide -10 by -2 to get 5.