Solve for p b=2(p+5)-10

$b = 2 (p + 5) - 10$

Step 1

Rewrite the equation as $2 (p + 5) - 10 = b$ .

$2 (p + 5) - 10 = b$

Step 2

Simplify $2 (p + 5) - 10$ .

Simplify each term.

Apply the distributive property.

$2 p + 2 \cdot 5 - 10 = b$

Multiply $2$ by $5$ .

$2 p + 10 - 10 = b$

Combine the opposite terms in $2 p + 10 - 10$ .

Subtract $10$ from $10$ .

$2 p + 0 = b$

Add $2 p$ and $0$ .

$2 p = b$

Step 3

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

Divide each term in $2 p = b$ by $2$ .

$\frac{2 p}{2} = \frac{b}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p}{2} = \frac{b}{2}$

Divide $p$ by $1$ .

$p = \frac{b}{2}$