Solve for p e=5s+2p

$e = 5 s + 2 p$

Rewrite the equation as $5 s + 2 p = e$ .

$5 s + 2 p = e$

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

$2 p = e - 5 s$

Divide each term in $2 p = e - 5 s$ by $2$ and simplify.

Divide each term in $2 p = e - 5 s$ by $2$ .

$\frac{2 p}{2} = \frac{e}{2} + \frac{- 5 s}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p}{2} = \frac{e}{2} + \frac{- 5 s}{2}$

Divide $p$ by $1$ .

$p = \frac{e}{2} + \frac{- 5 s}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$p = \frac{e}{2} - \frac{5 s}{2}$