Solve fx=x+2

$$f x = x + 2$$

Solve for f

$$f=\frac{x+2}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf=x+2$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{x+2}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{x+2}{x}$$

Solve for x

$$x=\frac{2}{f-1}$$

$$f\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$fx-x=2$$

Combine all terms containing x.

$$\left(f-1\right)x=2$$

Divide both sides by f-1.

$$\frac{\left(f-1\right)x}{f-1}=\frac{2}{f-1}$$

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

$$x=\frac{2}{f-1}$$