Algebra Examples

$\frac{20}{5} = \frac{4 x}{6}$

Step 1

Rewrite the equation as $\frac{4 x}{6} = \frac{20}{5}$ .

$\frac{4 x}{6} = \frac{20}{5}$

Step 2

Cancel the common factor of $4$ and $6$ .

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Step 2.1

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{6} = \frac{20}{5}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6$ .

$\frac{2 (2 x)}{2 (3)} = \frac{20}{5}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 x)}{2 \cdot 3} = \frac{20}{5}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x}{3} = \frac{20}{5}$

$\frac{2 x}{3} = \frac{20}{5}$

$\frac{2 x}{3} = \frac{20}{5}$

Step 3

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 = \frac{20}{5} \cdot 3$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $3$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 = \frac{20}{5} \cdot 3$

Step 4.1.1.2

Rewrite the expression.

$2 x = \frac{20}{5} \cdot 3$

$2 x = \frac{20}{5} \cdot 3$

$2 x = \frac{20}{5} \cdot 3$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{20}{5} \cdot 3$ .

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Step 4.2.1.1

Divide $20$ by $5$ .

$2 x = 4 \cdot 3$

Step 4.2.1.2

Multiply $4$ by $3$ .

$2 x = 12$

$2 x = 12$

$2 x = 12$

$2 x = 12$

Step 5

Divide each term in $2 x = 12$ by $2$ and simplify.

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Step 5.1

Divide each term in $2 x = 12$ by $2$ .

$\frac{2 x}{2} = \frac{12}{2}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $2$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{12}{2}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{2}$

$x = \frac{12}{2}$

$x = \frac{12}{2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $12$ by $2$ .

$x = 6$

$x = 6$

$x = 6$

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