Solve g=x/x-2

$$g = \frac { x } { x - 2 }$$

Solve for x

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

$$g\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.

$$g\left(x-2\right)=x$$

Use the distributive property to multiply g by x-2.

$$gx-2g=x$$

Subtract x from both sides.

$$gx-2g-x=0$$

Add 2g to both sides. Anything plus zero gives itself.

$$gx-x=2g$$

Combine all terms containing x.

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

Divide both sides by g-1.

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

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

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

Variable x cannot be equal to 2.

$$x=\frac{2g}{g-1}\text{, }x\neq 2$$

Solve for g

$$g=\frac{x}{x-2}$$

$$x\neq 2$$