-8<8x-58<5

Multiply each term in the inequality by 8.

-8⋅8<8x-58⋅8<5⋅8

Multiply -8 by 8.

-64<8x-58⋅8<5⋅8

Cancel the common factor.

-64<8x-58⋅8<5⋅8

Rewrite the expression.

-64<8x-5<5⋅8

-64<8x-5<5⋅8

Multiply 5 by 8.

-64<8x-5<40

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

-64+5<8x<40+5

Add -64 and 5.

-59<8x<40+5

Add 40 and 5.

-59<8x<45

-59<8x<45

Divide each term in the inequality by 8.

-598<8×8<458

Move the negative in front of the fraction.

-598<8×8<458

Cancel the common factor.

-598<8×8<458

Divide x by 1.

-598<x<458

-598<x<458

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