Solve for x 2xy-xz=4

$2 x y - x z = 4$

Factor $x$ out of $2 x y - x z$ .

Factor $x$ out of $2 x y$ .

$x (2 y) - x z = 4$

Factor $x$ out of $- x z$ .

$x (2 y) + x (- 1 z) = 4$

Factor $x$ out of $x (2 y) + x (- 1 z)$ .

$x (2 y - 1 z) = 4$

Rewrite $- 1 z$ as $- z$ .

$x (2 y - z) = 4$

Divide each term in $x (2 y - z) = 4$ by $2 y - z$ and simplify.

Divide each term in $x (2 y - z) = 4$ by $2 y - z$ .

$\frac{x (2 y - z)}{2 y - z} = \frac{4}{2 y - z}$

Simplify the left side.

Cancel the common factor of $2 y - z$ .

Cancel the common factor.

$\frac{x (2 y - z)}{2 y - z} = \frac{4}{2 y - z}$

Divide $x$ by $1$ .

$x = \frac{4}{2 y - z}$