Answer
$$2x+1$$
Work Step by Step
In order to solve this problem, we look for common factors in the numerator and the denominator. Doing this, we obtain:
$$ \frac{2x^2-5x-3}{x-3}\\ \frac{\left(2x+1\right)\left(x-3\right)}{x-3}\\ 2x+1$$
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