gp = geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio

thus we have

(2x - 3)/x = (3x - 2)/(2x - 3)

x(3x - 2) = (2x - 3)^2

3x^2 - 2x = 4x^2 - 12x + 9

x^2 - 10x + 9 = 0

by solving the quadratic equation we find

x1 = 1

x2 = 9

there are 2 solutions for x: 1 and 9.