Solve for P E=5.00S+2.00P

$E = 5 S + 2 P$

Step 1

Rewrite the equation as $5 S + 2 P = E$ .

$5 S + 2 P = E$

Step 2

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

$2 P = E - 5 S$

Step 3

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 $1$ .

$P = \frac{E}{2} + \frac{- 5 S}{2}$

$P = \frac{E}{2} + \frac{- 5 S}{2}$

$P = \frac{E}{2} + \frac{- 5 S}{2}$

Simplify the right side.

Simplify each term.

Multiply by $1$ .

$P = \frac{1 E}{2} + \frac{- 5 S}{2}$

Factor $2$ out of $2$ .

$P = \frac{1 E}{2 (1)} + \frac{- 5 S}{2}$

Separate fractions.

$P = \frac{1}{2} \cdot \frac{E}{1} + \frac{- 5 S}{2}$

Divide $1$ by $2$ .

$P = 0.5 \frac{E}{1} + \frac{- 5 S}{2}$

Cancel the common factor of $0.5$ .

Factor $0.5$ out of $1$ .

$P = 0.5 \frac{E}{0.5 \cdot 2} + \frac{- 5 S}{2}$

Cancel the common factor.

$P = 0.5 \frac{E}{0.5 \cdot 2} + \frac{- 5 S}{2}$

Rewrite the expression.

$P = \frac{E}{2} + \frac{- 5 S}{2}$

$P = \frac{E}{2} + \frac{- 5 S}{2}$

Cancel the common factor of $- 5$ and $2$ .

Factor $1$ out of $- 5 S$ .

$P = \frac{E}{2} + \frac{1 (- 5 S)}{2}$

Cancel the common factors.

Rewrite $2$ as $1 (2)$ .

$P = \frac{E}{2} + \frac{1 (- 5 S)}{1 (2)}$

Cancel the common factor.

$P = \frac{E}{2} + \frac{1 (- 5 S)}{1 \cdot 2}$

Rewrite the expression.

$P = \frac{E}{2} + \frac{- 5 S}{2}$

$P = \frac{E}{2} + \frac{- 5 S}{2}$

$P = \frac{E}{2} + \frac{- 5 S}{2}$

Move the negative in front of the fraction.

$P = \frac{E}{2} - \frac{5 S}{2}$

$P = \frac{E}{2} - \frac{5 S}{2}$

$P = \frac{E}{2} - \frac{5 S}{2}$

$P = \frac{E}{2} - \frac{5 S}{2}$

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