Study the diagram, where AB¯¯¯¯¯¯¯¯

and CD¯¯¯¯¯¯¯¯
are chords that intersect inside 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 value of x?
Responses

8
8

6
6

11
11

14
14

12