#### Answer

$$\frac{3\left(x+6\right)}{2\left(x+5\right)}$$

#### Work Step by Step

Using the rules of exponents and cancelling common factors in the numerator and the denominator, we find:
$$\frac{3\left(x-4\right)\left(x+6\right)}{\left(x+5\right)\left(2x-8\right)}\\ \frac{3\left(x+6\right)}{2\left(x+5\right)}$$