Solve dx=x+1

$$d x = x + 1$$

Solve for d

$$d=1+\frac{1}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xd=x+1$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{x+1}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{x+1}{x}$$

Divide x+1 by x.

$$d=1+\frac{1}{x}$$

Solve for x

$$x=\frac{1}{d-1}$$

$$d\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$dx-x=1$$

Combine all terms containing x.

$$\left(d-1\right)x=1$$

Divide both sides by d-1.

$$\frac{\left(d-1\right)x}{d-1}=\frac{1}{d-1}$$

Dividing by d-1 undoes the multiplication by d-1.

$$x=\frac{1}{d-1}$$