Simplify (2x+10)/3*(6x)/(x+5)

$\frac{2 x + 10}{3} \cdot \frac{6 x}{x + 5}$

Step 1

Factor $2$ out of $2 x + 10$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 10}{3} \cdot \frac{6 x}{x + 5}$

Factor $2$ out of $10$ .

$\frac{2 x + 2 \cdot 5}{3} \cdot \frac{6 x}{x + 5}$

Factor $2$ out of $2 x + 2 \cdot 5$ .

$\frac{2 (x + 5)}{3} \cdot \frac{6 x}{x + 5}$

Step 2

Cancel the common factor of $x + 5$ .

Factor $x + 5$ out of $2 (x + 5)$ .

$\frac{(x + 5) \cdot 2}{3} \cdot \frac{6 x}{x + 5}$

Cancel the common factor.

$\frac{(x + 5) \cdot 2}{3} \cdot \frac{6 x}{x + 5}$

Rewrite the expression.

$\frac{2}{3} \cdot (6 x)$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $6 x$ .

$\frac{2}{3} \cdot (3 (2 x))$

Cancel the common factor.

$\frac{2}{3} \cdot (3 (2 x))$

Rewrite the expression.

$2 \cdot (2 x)$

Step 4

Multiply $2$ by $2$ .

$4 x$