(2x - 3)^2 = (2x - 5)^2;

откроем скобки:

4x^2 - 12x + 9 = 4x^2 - 20x + 25;

4x^2 - 4x^2 - 12x + 20x = 25 - 9;

8x = 16;

x = 16 : 8;

x = 2.