# How do you simplify (5x-15)/(x-3)?

Dec 28, 2016

The value of this expression is $5$. See explanation.

#### Explanation:

First we have to find the domain of this rational expression:

$x - 3 \ne 0 \implies x \ne 3$

The domain is $x \in \mathbb{R} - \left\{3\right\}$

The value of this expression is:

$\frac{5 x - 15}{x - 3} = \frac{5 \left(x - 3\right)}{x - 3} = 5$

Answer: The value of this expressionm is 5 for all real numbers $x$ different from 3