Algebra Examples

\frac{1}{3} x = 5

$\frac{1}{3} x = 5$

Step 1

Multiply both sides of the equation by

3

$3$ .

3 (\frac{1}{3} x) = 3 \cdot 5

$3 (\frac{1}{3} x) = 3 \cdot 5$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify

3 (\frac{1}{3} x)

$3 (\frac{1}{3} x)$ .

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Step 2.1.1.1

Combine

\frac{1}{3}

$\frac{1}{3}$ and

x

$x$ .

3 \frac{x}{3} = 3 \cdot 5

$3 \frac{x}{3} = 3 \cdot 5$

Step 2.1.1.2

Cancel the common factor of

3

$3$ .

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Step 2.1.1.2.1

Cancel the common factor.

3 \frac{x}{3} = 3 \cdot 5

$3 \frac{x}{3} = 3 \cdot 5$

Step 2.1.1.2.2

Rewrite the expression.

$x = 3 \cdot 5$

$x = 3 \cdot 5$

$x = 3 \cdot 5$

$x = 3 \cdot 5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply

$3$ by

$5$ .

$x = 15$

$x = 15$

$x = 15$

$\frac{1}{3} x = 5$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$