Study the diagram, where AB⎯⎯⎯⎯⎯⎯⎯ and CD⎯⎯⎯⎯⎯⎯⎯⎯ are chords that intersect inside of the circle at point P, which is not the center. A circle, with no center shown, and two chords as described in the text. Segment A P equals 10, segment B P equals x, segment C P equals 8, and segment D P equals 3 plus x. What is the length of x?