Need some help with this

Question

Examine the diagram of circle G, where two chords, EF and WV, are congruent. Segment JK is a diameter of circle G and intersects EF at a right angle at point P. JK intersects WV at a right angle at point O. If PG=2(4x−3)−8 and GO=4+2x, what is the value of x?

Answer 1

PG = GO; 2(4x - 3) - 8 = 4 + 2x; 8x - 6 - 8 = 4 + 2x, 6x = 18; x = 3.