Question

(\frac{5}{x - 3}+\frac{2}{3 - x}=)

Explanation:

Step1: Rewrite denominator to match

Notice that $3-x = -(x-3)$, so rewrite the second fraction:
$\frac{2}{3-x} = \frac{2}{-(x-3)} = -\frac{2}{x-3}$

Step2: Combine the fractions

Now add the two fractions with the same denominator:
$\frac{5}{x-3} - \frac{2}{x-3} = \frac{5-2}{x-3}$

Step3: Simplify the numerator

Calculate the subtraction in the numerator:
$\frac{5-2}{x-3} = \frac{3}{x-3}$

Answer:

$\frac{3}{x-3}$ (where $x
eq 3$)