# How do you solve for L in S=2wL+2Lh+2wh?

Mar 23, 2016

$L = \frac{S - 2 w h}{2 w + 2 h}$

#### Explanation:

To solve for $L$ in the equation $S = 2 w L + 2 L h + 2 w h$
begin by isolating the two terms with the variable $L$

$S - 2 w h = 2 w L + 2 L h$
next factor out the $L$

$S - 2 w h = L \left(2 w + 2 h\right)$
now isolate the L

$\frac{S - 2 w h}{2 w + 2 h} = L$