-17<5a+3<13

Subtract 3 from each section of the inequality because it does not contain the variable we are trying to solve for.

-17-3<5a<13-3

Subtract 3 from -17.

-20<5a<13-3

Subtract 3 from 13.

-20<5a<10

-20<5a<10

Divide each term in the inequality by 5.

-205<5a5<105

Divide -20 by 5.

-4<5a5<105

Cancel the common factor.

-4<5a5<105

Divide a by 1.

-4<a<105

-4<a<105

Divide 10 by 5.

-4<a<2

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