Determining Rationality of a Complex Expression

Evaluate the following expression:

$$x = 5 + 2\frac{17}{3} -\frac{\frac{49}{10}}{7} +\frac{\frac{25}{4}}{5}$$

Determine whether the result is a rational or irrational number. Consider the definition that a rational number can be expressed as the fraction of two integers, whereas an irrational number cannot be expressed in such a way.