Algebra Examples

$\frac{7 x}{x + 7} \cdot \frac{2 x + 14}{14}$

Step 1

Factor $2$ out of $2 x + 14$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{7 x}{x + 7} \cdot \frac{2 (x) + 14}{14}$

Step 1.2

Factor $2$ out of $14$ .

$\frac{7 x}{x + 7} \cdot \frac{2 x + 2 \cdot 7}{14}$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 7$ .

$\frac{7 x}{x + 7} \cdot \frac{2 (x + 7)}{14}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $7 x$ .

$\frac{7 (x)}{x + 7} \cdot \frac{2 (x + 7)}{14}$

Step 2.2

Factor $7$ out of $14$ .

$\frac{7 (x)}{x + 7} \cdot \frac{2 (x + 7)}{7 (2)}$

Step 2.3

Cancel the common factor.

$\frac{7 x}{x + 7} \cdot \frac{2 (x + 7)}{7 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{x}{x + 7} \cdot \frac{2 (x + 7)}{2}$

Step 3

Cancel the common factor of $x + 7$ .

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Step 3.1

Factor $x + 7$ out of $2 (x + 7)$ .

$\frac{x}{x + 7} \cdot \frac{(x + 7) \cdot 2}{2}$

Step 3.2

Cancel the common factor.

$\frac{x}{x + 7} \cdot \frac{(x + 7) \cdot 2}{2}$

Step 3.3

Rewrite the expression.

$x \cdot \frac{2}{2}$

Step 4

Combine $x$ and $\frac{2}{2}$ .

$\frac{x \cdot 2}{2}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Cancel the common factor.

$\frac{x \cdot 2}{2}$

Step 5.2

Divide $x$ by $1$ .

$x$