Solve d=6(c-x)/c

$$d = \frac { 6 ( c - x ) } { c }$$

Solve for c

$$\left\{\begin{matrix}c=\frac{6x}{6-d}\text{, }&x\neq 0\text{ and }d\neq 6\\c\neq 0\text{, }&x=0\text{ and }d=6\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.

$$dc=6\left(c-x\right)$$

Use the distributive property to multiply 6 by c-x.

$$dc=6c-6x$$

Subtract 6c from both sides.

$$dc-6c=-6x$$

Combine all terms containing c.

$$\left(d-6\right)c=-6x$$

Divide both sides by d-6.

$$\frac{\left(d-6\right)c}{d-6}=-\frac{6x}{d-6}$$

Dividing by d-6 undoes the multiplication by d-6.

$$c=-\frac{6x}{d-6}$$

Variable c cannot be equal to 0.

$$c=-\frac{6x}{d-6}\text{, }c\neq 0$$

Solve for d

$$d=-\frac{6x}{c}+6$$

$$c\neq 0$$