Solve A+4=dx-2

$$A + 4 = d x - 2$$

Solve for d (complex solution)

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$dx-2=A+4$$

Add 2 to both sides.

$$dx=A+4+2$$

Add 4 and 2 to get 6.

$$dx=A+6$$

The equation is in standard form.

$$xd=A+6$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{A+6}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{A+6}{x}$$

Solve for A

$$A=dx-6$$

Solution Steps

Subtract 4 from both sides.

$$A=dx-2-4$$

Subtract 4 from -2 to get -6.

$$A=dx-6$$

Solve for d

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$dx-2=A+4$$

Add 2 to both sides.

$$dx=A+4+2$$

Add 4 and 2 to get 6.

$$dx=A+6$$

The equation is in standard form.

$$xd=A+6$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{A+6}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{A+6}{x}$$