Answer:
x = 3
Explanation:
Since the chords are congruent then they are equidistant from the centre, thus
PG = GO , substitute values
2(4x - 3) - 8 = 4 + 2x ← distribute and simplify left side
8x - 6 - 8 = 4 + 2x
8x - 14 = 4 + 2x ( subtract 2x from both sides )
6x - 14 = 4 ( add 14 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3