Solve for x a-b=cx-fy

$a - b = c x - f y$

Rewrite the equation as $c x - f y = a - b$ .

$c x - f y = a - b$

Add $f y$ to both sides of the equation.

$c x = a - b + f y$

Divide each term in $c x = a - b + f y$ by $c$ and simplify.

Divide each term in $c x = a - b + f y$ by $c$ .

$\frac{c x}{c} = \frac{a}{c} + \frac{- b}{c} + \frac{f y}{c}$

Simplify the left side.

Cancel the common factor of $c$ .

Cancel the common factor.

$\frac{c x}{c} = \frac{a}{c} + \frac{- b}{c} + \frac{f y}{c}$

Divide $x$ by $1$ .

$x = \frac{a}{c} + \frac{- b}{c} + \frac{f y}{c}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{a}{c} - \frac{b}{c} + \frac{f y}{c}$