Solve for p 5(2p-4(p+5))=25

$5 (2 p - 4 (p + 5)) = 25$

Divide each term in $5 (2 p - 4 (p + 5)) = 25$ by $5$ and simplify.

Divide each term in $5 (2 p - 4 (p + 5)) = 25$ by $5$ .

$\frac{5 (2 p - 4 (p + 5))}{5} = \frac{25}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (2 p - 4 (p + 5))}{5} = \frac{25}{5}$

Divide $2 p - 4 (p + 5)$ by $1$ .

$2 p - 4 (p + 5) = \frac{25}{5}$

Simplify each term.

Apply the distributive property.

$2 p - 4 p - 4 \cdot 5 = \frac{25}{5}$

Multiply $- 4$ by $5$ .

$2 p - 4 p - 20 = \frac{25}{5}$

Subtract $4 p$ from $2 p$ .

$- 2 p - 20 = \frac{25}{5}$

Simplify the right side.

Divide $25$ by $5$ .

$- 2 p - 20 = 5$

Move all terms not containing $p$ to the right side of the equation.

Add $20$ to both sides of the equation.

$- 2 p = 5 + 20$

Add $5$ and $20$ .

$- 2 p = 25$

Divide each term in $- 2 p = 25$ by $- 2$ and simplify.

Divide each term in $- 2 p = 25$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{25}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{25}{- 2}$

Divide $p$ by $1$ .

$p = \frac{25}{- 2}$

Simplify the right side.

Move the negative in front of the fraction.

$p = - \frac{25}{2}$

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{25}{2}$

Decimal Form:

$p = - 12.5$

Mixed Number Form:

$p = - 12 \frac{1}{2}$