Solve for L P=2L+2W

$P = 2 L + 2 W$

Step 1

Rewrite the equation as $2 L + 2 W = P$ .

$2 L + 2 W = P$

Step 2

Subtract $2 W$ from both sides of the equation.

$2 L = P - 2 W$

Step 3

Divide each term in $2 L = P - 2 W$ by $2$ and simplify.

Divide each term in $2 L = P - 2 W$ by $2$ .

$\frac{2 L}{2} = \frac{P}{2} + \frac{- 2 W}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 L}{2} = \frac{P}{2} + \frac{- 2 W}{2}$

Divide $L$ by $1$ .

$L = \frac{P}{2} + \frac{- 2 W}{2}$

$L = \frac{P}{2} + \frac{- 2 W}{2}$

$L = \frac{P}{2} + \frac{- 2 W}{2}$

Simplify the right side.

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

Factor $2$ out of $- 2 W$ .

$L = \frac{P}{2} + \frac{2 (- W)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$L = \frac{P}{2} + \frac{2 (- W)}{2 (1)}$

Cancel the common factor.

$L = \frac{P}{2} + \frac{2 (- W)}{2 \cdot 1}$

Rewrite the expression.

$L = \frac{P}{2} + \frac{- W}{1}$

Divide $- W$ by $1$ .

$L = \frac{P}{2} - W$

$L = \frac{P}{2} - W$

$L = \frac{P}{2} - W$

$L = \frac{P}{2} - W$

$L = \frac{P}{2} - W$

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