Since CHNY is a parallelogram, HN = CY. Also, since diagonals CH and NY intersect at point A, we have:
HN + NA = AY (1)
Substituting the given values, we get:
(7x + 5) + (2x + 3) = 4x - 7
Simplifying and solving for x, we get:
9x = -15
x = -5/3
Therefore, the value of x is -5/3.