Simplify (5-10x)/6*(6x+8)/(10-20x)

$\frac{5 - 10 x}{6} \cdot \frac{6 x + 8}{10 - 20 x}$

Factor $5$ out of $5 - 10 x$ .

Factor $5$ out of $5$ .

$\frac{5 (1) - 10 x}{6} \cdot \frac{6 x + 8}{10 - 20 x}$

Factor $5$ out of $- 10 x$ .

$\frac{5 (1) + 5 (- 2 x)}{6} \cdot \frac{6 x + 8}{10 - 20 x}$

Factor $5$ out of $5 (1) + 5 (- 2 x)$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{6 x + 8}{10 - 20 x}$

Factor $2$ out of $6 x + 8$ .

Factor $2$ out of $6 x$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x) + 8}{10 - 20 x}$

Factor $2$ out of $8$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x) + 2 (4)}{10 - 20 x}$

Factor $2$ out of $2 (3 x) + 2 (4)$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{10 - 20 x}$

Factor $10$ out of $10 - 20 x$ .

Factor $10$ out of $10$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{10 (1) - 20 x}$

Factor $10$ out of $- 20 x$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{10 (1) + 10 (- 2 x)}$

Factor $10$ out of $10 (1) + 10 (- 2 x)$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{10 (1 - 2 x)}$

Cancel the common factor of $5 (1 - 2 x)$ .

Factor $5 (1 - 2 x)$ out of $10 (1 - 2 x)$ .

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{5 (1 - 2 x) (2)}$

Cancel the common factor.

$\frac{5 (1 - 2 x)}{6} \cdot \frac{2 (3 x + 4)}{5 (1 - 2 x) \cdot 2}$

Rewrite the expression.

$\frac{1}{6} \cdot \frac{2 (3 x + 4)}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{1}{2 (3)} \cdot \frac{2 (3 x + 4)}{2}$

Cancel the common factor.

$\frac{1}{2 \cdot 3} \cdot \frac{2 (3 x + 4)}{2}$

Rewrite the expression.

$\frac{1}{3} \cdot \frac{3 x + 4}{2}$

Multiply $\frac{1}{3}$ by $\frac{3 x + 4}{2}$ .

$\frac{3 x + 4}{3 \cdot 2}$

Multiply $3$ by $2$ .

$\frac{3 x + 4}{6}$