# How do you solve (3x)/(x - 2) = 6/(x - 2)?

Jun 19, 2016

This equation has no solution.

#### Explanation:

Given:

$\frac{3 x}{x - 2} = \frac{6}{x - 2}$

Mutiply both sides by $\left(x - 2\right)$ to get:

$3 x = 6$

Divide both sides by $3$ to get:

$x = 2$

Any solution of the original equation must satisfy $x = 2$.

However, if we try to substitute $x = 2$ in the original equation, the denominators on both sides are $0$, so the expressions are undefined.

So $x = 2$ is a not a solution of the original equation.