# How do you solve for x in w-xz=xy?

Feb 20, 2016

$x = \frac{w}{y + z}$

#### Explanation:

Get both of the $x$ variables on the same side of the equation by adding $x z$ to both sides.

$w = x y + x z$

Factor a common $x$ term.

$w = x \left(y + z\right)$

Divide both sides by $y + z$.

$\frac{w}{y + z} = x$

If you like, you can switch the order of the sides.

$x = \frac{w}{y + z}$