Question

3

Answer 1

Step-by-step explanation:

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

$= \frac{ \frac{3 - 5.(x - 2)}{x - 2} }{ \frac{2.(x - 2) - 4}{x - 2} }$

$= \frac{ \frac{3 - 5.(x - 2)}{ \cancel{x - 2}} }{ \frac{2.(x - 2) - 4}{ \cancel{x - 2} }}$

$= \frac{3 - 5.(x - 2)}{2.(x - 2) - 4}$

$= \frac{3 - 5x + 10}{2x - 4 - 4}$

$= \frac{ - 5x + 13}{2x - 8}$

$= \frac{13 - 5x}{2x - 8}$

The answer is D.