-8<2x+16<14

Subtract 16 from each section of the inequality because it does not contain the variable we are trying to solve for.

-8-16<2x<14-16

Subtract 16 from -8.

-24<2x<14-16

Subtract 16 from 14.

-24<2x<-2

-24<2x<-2

Divide each term in the inequality by 2.

-242<2×2<-22

Divide -24 by 2.

-12<2×2<-22

Cancel the common factor.

-12<2×2<-22

Divide x by 1.

-12<x<-22

-12<x<-22

Divide -2 by 2.

-12<x<-1

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