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5x+12-3x<-2
Subtract 3x from both sides.
2x+12<-2
Combine 5x and -3x to get 2x.
2x<-2-12
Subtract 12 from both sides.
2x<-14
Subtract 12 from -2 to get -14.
x<\frac{-14}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x<-7
Divide -14 by 2 to get -7.