Solve \frac{x+2}{x-1}=3

Evaluate

\frac{x + 2}{x - 1} = 3

Find the domain

More Steps

\frac{x + 2}{x - 1} = 3, x \neq = 1

Cross multiply

x + 2 = (x - 1) \times 3

Simplify the equation

x + 2 = 3 (x - 1)

Expand the expression

More Steps

x + 2 = 3 x - 3

Move the expression to the left side

x + 2 - 3 x = - 3

Move the expression to the right side

x - 3 x = - 3 - 2

Add and subtract

More Steps

- 2 x = - 3 - 2

Add and subtract

- 2 x = - 5

Change the signs on both sides of the equation

2 x = 5

Divide both sides

\frac{2 x}{2} = \frac{5}{2}

Divide the numbers

x = \frac{5}{2}

Check if the solution is in the defined range

x = \frac{5}{2}, x \neq = 1

Solution

x = \frac{5}{2}

Alternative Form

x = 2.5

\frac{x+2}{x 1}=3