#### Answer

$\dfrac{4x+12}{8x^{2}+24x}=\dfrac{1}{2x}$

#### Work Step by Step

$\dfrac{4x+12}{8x^{2}+24x}$
Take out common factor $4$ from the numerator and common factor $8x$ from the denominator. Then, simplify:
$\dfrac{4x+12}{8x^{2}+24x}=\dfrac{4(x+3)}{8x(x+3)}=\dfrac{4}{8x}=\dfrac{1}{2x}$