Solve for c f=c/(c-e)

$f = \frac{c}{c - e}$

Multiply the equation by $c - e$ .

$(c - e) (f) = (\frac{c}{c - e}) (c - e)$

Simplify the left side.

Apply the distributive property.

$c f - e f = (\frac{c}{c - e}) (c - e)$

Simplify the right side.

Cancel the common factor of $c - e$ .

Cancel the common factor.

$c f - e f = \frac{c}{c - e} (c - e)$

Rewrite the expression.

$c f - e f = c$

Solve for $c$ .

Subtract $c$ from both sides of the equation.

$c f - e f - c = 0$

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

$c f - c = e f$

Factor $c$ out of $c f - c$ .

Factor $c$ out of $c f$ .

$c (f) - c = e f$

Factor $c$ out of $- c$ .

$c (f) + c \cdot - 1 = e f$

Factor $c$ out of $c (f) + c \cdot - 1$ .

$c (f - 1) = e f$

Divide each term in $c (f - 1) = e f$ by $f - 1$ and simplify.

Divide each term in $c (f - 1) = e f$ by $f - 1$ .

$\frac{c (f - 1)}{f - 1} = \frac{e f}{f - 1}$

Simplify the left side.

Cancel the common factor of $f - 1$ .

Cancel the common factor.

$\frac{c (f - 1)}{f - 1} = \frac{e f}{f - 1}$

Divide $c$ by $1$ .

$c = \frac{e f}{f - 1}$