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7x+10-2x<-5
Subtract 2x from both sides.
5x+10<-5
Combine 7x and -2x to get 5x.
5x<-5-10
Subtract 10 from both sides.
5x<-15
Subtract 10 from -5 to get -15.
x<\frac{-15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<-3
Divide -15 by 5 to get -3.