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2x+16-8x<-2
Subtract 8x from both sides.
-6x+16<-2
Combine 2x and -8x to get -6x.
-6x<-2-16
Subtract 16 from both sides.
-6x<-18
Subtract 16 from -2 to get -18.
x>\frac{-18}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x>3
Divide -18 by -6 to get 3.