# How do you combine 2/(4-x) + 5/(x-4)?

$\frac{2}{4 - x} + \frac{5}{x - 4} = \frac{3}{x - 4}$

#### Explanation:

This is how to do it.

$\frac{2}{4 - x} + \frac{5}{x - 4}$

introduce a - sign both numerator and denominator of the first fraction

$\frac{- 2}{- \left(4 - x\right)} + \frac{5}{x - 4}$

so that

$\frac{- 2}{- \left(4 - x\right)} + \frac{5}{x - 4} = \frac{- 2}{- 4 + x} + \frac{5}{x - 4} = \frac{- 2}{x - 4} + \frac{5}{x - 4}$

$= \frac{5 - 2}{x - 4}$

$= \frac{3}{x - 4}$

God bless...I hope the explanation is useful.