-9<4x-5<7

Add 5 to each section of the inequality because it does not contain the variable we are trying to solve for.

-9+5<4x<7+5

Add -9 and 5.

-4<4x<7+5

Add 7 and 5.

-4<4x<12

-4<4x<12

Divide each term in the inequality by 4.

-44<4×4<124

Divide -4 by 4.

-1<4×4<124

Cancel the common factor.

-1<4×4<124

Divide x by 1.

-1<x<124

-1<x<124

Divide 12 by 4.

-1<x<3

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