Solve dx-3x=2

$$d x - 3 x = 2$$

Solve for d

$$d=3+\frac{2}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 3x to both sides.

$$dx=2+3x$$

The equation is in standard form.

$$xd=3x+2$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{3x+2}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{3x+2}{x}$$

Divide 2+3x by x.

$$d=3+\frac{2}{x}$$

Solve for x

$$x=\frac{2}{d-3}$$

$$d\neq 3$$

Steps for Solving Linear Equation

Combine all terms containing x.

$$\left(d-3\right)x=2$$

Divide both sides by d-3.

$$\frac{\left(d-3\right)x}{d-3}=\frac{2}{d-3}$$

Dividing by d-3 undoes the multiplication by d-3.

$$x=\frac{2}{d-3}$$