# How do you combine (2x-1)/(x-2)+(x-5)/(x-2)?

Aug 25, 2016

3

#### Explanation:

You know that$\frac{2}{7} + \frac{3}{7} = \frac{5}{7}$
It's the same thing. The denominator is the same so add the numerators
$\frac{2 x - 1 + x - 5}{x - 2}$
Tidy it up
$\frac{3 x - 6}{x - 2}$
Factiorise the numerator
$3 \frac{x - 2}{x - 2}$
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