Solve cx-d=5d

$$c x - d = 5 d$$

Solve for c (complex solution)

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

Steps for Solving Linear Equation

Add d to both sides.

$$cx=5d+d$$

Combine 5d and d to get 6d.

$$cx=6d$$

The equation is in standard form.

$$xc=6d$$

Divide both sides by x.

$$\frac{xc}{x}=\frac{6d}{x}$$

Dividing by x undoes the multiplication by x.

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

Solve for c

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

Steps for Solving Linear Equation

Add d to both sides.

$$cx=5d+d$$

Combine 5d and d to get 6d.

$$cx=6d$$

The equation is in standard form.

$$xc=6d$$

Divide both sides by x.

$$\frac{xc}{x}=\frac{6d}{x}$$

Dividing by x undoes the multiplication by x.

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

Solve for d

$$d=\frac{cx}{6}$$

Steps for Solving Linear Equation

Subtract 5d from both sides.

$$cx-d-5d=0$$

Combine -d and -5d to get -6d.

$$cx-6d=0$$

Subtract cx from both sides. Anything subtracted from zero gives its negation.

$$-6d=-cx$$

Divide both sides by -6.

$$\frac{-6d}{-6}=-\frac{cx}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$d=-\frac{cx}{-6}$$

Divide -cx by -6.

$$d=\frac{cx}{6}$$