#### Answer

$\dfrac{4x-24}{20x}\cdot\dfrac{5}{x-6}=\dfrac{1}{x}$

#### Work Step by Step

$\dfrac{4x-24}{20x}\cdot\dfrac{5}{x-6}$
Factor the numerator of the first fraction by taking out common factor $4$:
$\dfrac{4x-24}{20x}\cdot\dfrac{5}{x-6}=\dfrac{4(x-6)}{20x}\cdot\dfrac{5}{x-6}=...$
Multiply both rational expressions and simplify by removing repeated factors in the numerator and the denominator:
$...=\dfrac{20(x-6)}{20x(x-6)}=\dfrac{20}{20x}=\dfrac{1}{x}$