Solve ax+dx=t

$$a x + d x = t$$

Solve for a (complex solution)

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

Steps for Solving Linear Equation

Subtract dx from both sides.

$$ax=t-dx$$

The equation is in standard form.

$$xa=t-dx$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{t-dx}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{t-dx}{x}$$

Divide t-dx by x.

$$a=-d+\frac{t}{x}$$

Solve for d (complex solution)

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

Steps for Solving Linear Equation

Subtract ax from both sides.

$$dx=t-ax$$

The equation is in standard form.

$$xd=t-ax$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{t-ax}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{t-ax}{x}$$

Divide t-ax by x.

$$d=-a+\frac{t}{x}$$

Solve for a

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

Steps for Solving Linear Equation

Subtract dx from both sides.

$$ax=t-dx$$

The equation is in standard form.

$$xa=t-dx$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{t-dx}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{t-dx}{x}$$

Divide t-dx by x.

$$a=-d+\frac{t}{x}$$

Solve for d

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

Steps for Solving Linear Equation

Subtract ax from both sides.

$$dx=t-ax$$

The equation is in standard form.

$$xd=t-ax$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{t-ax}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{t-ax}{x}$$

Divide t-ax by x.

$$d=-a+\frac{t}{x}$$