Simplify (4x+8)/x*5/(x+2)

$\frac{4 x + 8}{x} \cdot \frac{5}{x + 2}$

Step 1

Factor $4$ out of $4 x + 8$ .

Factor $4$ out of $4 x$ .

$\frac{4 (x) + 8}{x} \cdot \frac{5}{x + 2}$

Factor $4$ out of $8$ .

$\frac{4 x + 4 \cdot 2}{x} \cdot \frac{5}{x + 2}$

Factor $4$ out of $4 x + 4 \cdot 2$ .

$\frac{4 (x + 2)}{x} \cdot \frac{5}{x + 2}$

$\frac{4 (x + 2)}{x} \cdot \frac{5}{x + 2}$

Step 2

Cancel the common factor of $x + 2$ .

Factor $x + 2$ out of $4 (x + 2)$ .

$\frac{(x + 2) \cdot 4}{x} \cdot \frac{5}{x + 2}$

Cancel the common factor.

$\frac{(x + 2) \cdot 4}{x} \cdot \frac{5}{x + 2}$

Rewrite the expression.

$\frac{4}{x} \cdot 5$

$\frac{4}{x} \cdot 5$

Step 3

Combine $\frac{4}{x}$ and $5$ .

$\frac{4 \cdot 5}{x}$

Step 4

Multiply $4$ by $5$ .

$\frac{20}{x}$

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