You can use Kepler's Third Law of Planetary Motion to calculate the distance of a planet from the Sun. Here's how it works:

Kepler's Third Law:

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

* P² = a³

Where:

* P is the orbital period in years

* a is the semi-major axis (average distance from the Sun) in astronomical units (AU)

Solving for the distance (a):

1. We know P = 50 years

2. Substitute P into the equation: 50² = a³

3. Simplify: 2500 = a³

4. Solve for a (take the cube root of both sides): a = ³√2500 ≈ 13.57 AU

Therefore, the distance of Planet X from the Sun is approximately 13.57 astronomical units.

Important Note: This calculation assumes a circular orbit for simplicity. Real planetary orbits are slightly elliptical, but this gives you a good approximation.