Solve I_{n}x=x+8

$$I _ { n } x = x + 8$$

Solve for I_n

$$I_{n}=\frac{x+8}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xI_{n}=x+8$$

Divide both sides by x.

$$\frac{xI_{n}}{x}=\frac{x+8}{x}$$

Dividing by x undoes the multiplication by x.

$$I_{n}=\frac{x+8}{x}$$

Solve for x

$$x=\frac{8}{I_{n}-1}$$

$$I_{n}\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$I_{n}x-x=8$$

Combine all terms containing x.

$$\left(I_{n}-1\right)x=8$$

Divide both sides by I_{n}-1.

$$\frac{\left(I_{n}-1\right)x}{I_{n}-1}=\frac{8}{I_{n}-1}$$

Dividing by I_{n}-1 undoes the multiplication by I_{n}-1.

$$x=\frac{8}{I_{n}-1}$$