pt $\iff (2x - 7)(2x - 5) = 5(\sqrt{3x - 2} + \sqrt{x + 3})$
$\iff -4x^2 + 28x - 24 = (3x + 2 - 5\sqrt{3x - 2}) + (x + 9 - 5 \sqrt{x + 3})$
$\iff -4(x - 1)(x - 6) = \dfrac{9(x - 1)(x - 6)}{3x + 2 + 5 \sqrt{3x - 2}} + \dfrac{(x - 1)(x - 6)}{x + 9 + 5 \sqrt{x + 3}}$
$\iff \ldots$