Solve x+1/x-1=3

$$\frac { x + 1 } { x - 1 } = 3$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

$$x+1=3\left(x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$x+1=3x-3$$

Subtract 3x from both sides.

$$x+1-3x=-3$$

Combine x and -3x to get -2x.

$$-2x+1=-3$$

Subtract 1 from both sides.

$$-2x=-3-1$$

Subtract 1 from -3 to get -4.

$$-2x=-4$$

Divide both sides by -2.

$$x=\frac{-4}{-2}$$

Divide -4 by -2 to get 2.

$$x=2$$