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7x+5<2+2x-17
Combine 6x and x to get 7x.
7x+5<-15+2x
Subtract 17 from 2 to get -15.
7x+5-2x<-15
Subtract 2x from both sides.
5x+5<-15
Combine 7x and -2x to get 5x.
5x<-15-5
Subtract 5 from both sides.
5x<-20
Subtract 5 from -15 to get -20.
x<\frac{-20}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<-4
Divide -20 by 5 to get -4.