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5x+2-2x<-1
Subtract 2x from both sides.
3x+2<-1
Combine 5x and -2x to get 3x.
3x<-1-2
Subtract 2 from both sides.
3x<-3
Subtract 2 from -1 to get -3.
x<\frac{-3}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<-1
Divide -3 by 3 to get -1.