Question

Make c the subject of the formula f= d - c over c -e

Answer 1

$f=\dfrac{d-c}{c-e}$


Multiply both sides by $(c-e):$

$f\cdot (c-e)=d-c\\ \\ fc-fe=d-c\\ \\ fc+c=d+fe\\ \\ (f+1)\cdot c=d+fe\\ \\ \boxed{\begin{array}{l} c=\dfrac{d+fe}{f+1} \end{array}}$