Solve for p 2p+5r=q for p

$2 p + 5 r = q$ for $p$

Subtract $5 r$ from both sides of the equation.

$2 p = q - 5 r$

Divide each term in $2 p = q - 5 r$ by $2$ and simplify.

Divide each term in $2 p = q - 5 r$ by $2$ .

$\frac{2 p}{2} = \frac{q}{2} + \frac{- 5 r}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p}{2} = \frac{q}{2} + \frac{- 5 r}{2}$

Divide $p$ by $1$ .

$p = \frac{q}{2} + \frac{- 5 r}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$p = \frac{q}{2} - \frac{5 r}{2}$