Algebra Examples

${(x + 7)}^{3} + 8 = 16$

Step 1

Subtract $8$ from both sides of the equation.

${(x + 7)}^{3} = 16 - 8$

Step 2

Subtract $8$ from $16$ .

${(x + 7)}^{3} = 8$

Step 3

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x + 7 = \sqrt[3]{8}$

Step 4

Simplify $\sqrt[3]{8}$ .

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Step 4.1

Rewrite $8$ as $2^{3}$ .

$x + 7 = \sqrt[3]{2^{3}}$

Step 4.2

Pull terms out from under the radical, assuming real numbers.

$x + 7 = 2$

Step 5

Move all terms not containing $x$ to the right side of the equation.

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Step 5.1

Subtract $7$ from both sides of the equation.

$x = 2 - 7$

Step 5.2

Subtract $7$ from $2$ .

$x = - 5$