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

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

Cancel the common factor of $- 8$ and $- 4$ .

Factor $- 4$ out of $- 8 (2 x + 5)$ .

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2 x + 5$ and $5 + 2 x$ .

Reorder terms.

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

Cancel the common factor.

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

Divide $2$ by $1$ .

$2$