Solve for w P=2l+2w ; solve for w

$P = 2 l + 2 w$ ; solve for $w$

Step 1

Rewrite the equation as $2 l + 2 w = P$ .

$2 l + 2 w = P$

Step 2

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

$2 w = P - 2 l$

Step 3

Divide each term in $2 w = P - 2 l$ by $2$ and simplify.

Divide each term in $2 w = P - 2 l$ by $2$ .

$\frac{2 w}{2} = \frac{P}{2} + \frac{- 2 l}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 w}{2} = \frac{P}{2} + \frac{- 2 l}{2}$

Divide $w$ by $1$ .

$w = \frac{P}{2} + \frac{- 2 l}{2}$

$w = \frac{P}{2} + \frac{- 2 l}{2}$

$w = \frac{P}{2} + \frac{- 2 l}{2}$

Simplify the right side.

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

Factor $2$ out of $- 2 l$ .

$w = \frac{P}{2} + \frac{2 (- l)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$w = \frac{P}{2} + \frac{2 (- l)}{2 (1)}$

Cancel the common factor.

$w = \frac{P}{2} + \frac{2 (- l)}{2 \cdot 1}$

Rewrite the expression.

$w = \frac{P}{2} + \frac{- l}{1}$

Divide $- l$ by $1$ .

$w = \frac{P}{2} - l$

$w = \frac{P}{2} - l$

$w = \frac{P}{2} - l$

$w = \frac{P}{2} - l$

$w = \frac{P}{2} - l$

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