Solve for x g+cx=yx

$g + c x = y x$

Subtract $y x$ from both sides of the equation.

$g + c x - y x = 0$

Subtract $g$ from both sides of the equation.

$c x - y x = - g$

Factor $x$ out of $c x - y x$ .

Factor $x$ out of $c x$ .

$x c - y x = - g$

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

$x c + x (- y) = - g$

Factor $x$ out of $x c + x (- y)$ .

$x (c - y) = - g$

Divide each term in $x (c - y) = - g$ by $c - y$ and simplify.

Divide each term in $x (c - y) = - g$ by $c - y$ .

$\frac{x (c - y)}{c - y} = \frac{- g}{c - y}$

Simplify the left side.

Cancel the common factor of $c - y$ .

Cancel the common factor.

$\frac{x (c - y)}{c - y} = \frac{- g}{c - y}$

Divide $x$ by $1$ .

$x = \frac{- g}{c - y}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{g}{c - y}$