$\"\"$

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The equation is $\"open$ .

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$\"open$ (Subtract 3 from each side)

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$\"open$ (Apply additive inverse property: $\"3$ )

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$\"open$ (Subtract: $\"5$ ) $\"\"$

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For any real number b and for any positive integer n, $\"\"$ .

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$\"\"$

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Apply power of five on each side and eliminate fifth roots.

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$\"5$

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$\"5$ (Evaluate powers: $\"\"$ ) $\"\"$

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$\"5$ (Subtract 7 from each side)

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$\"5$ (Apply additive inverse property: $\"7$ )

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$\"5$ (Subtract: $\"32$ )

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$\"fraction$ (Divide each side by 5)

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$\"x$ (Cancel common terms)

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$\"x$ (Divide: $\"25$ ) $\"\"$

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CHECK:-

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To check the solution, substitute $\"x$ in $\"open$ .

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$\"open$

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$\"open$ (Subtract: $\"9$ )

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$\"open$ (Rewrite: $\"8$ )

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$\"2$

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$\"5$ (Add: $\"2$ )

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The solution is true. $\"\"$

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The value of x is 5.