\[\frac{3}{2x - 3} - \frac{1}{x} + \frac{2x + 15}{9 - 4x^{2}} =\]
\[= \frac{3^{\backslash x(2x + 3)}}{2x - 3} - \frac{1^{\backslash 4x^{2} - 9}}{x} - \frac{2x + 15^{\backslash x}}{(2x - 3)(2x + 3)} =\]
\[= \frac{6x^{2} + 9x - 4x^{2} + 9 - 2x^{2} + 15x}{x(2x - 3)(2x + 3)} =\]
\[= \frac{25x + 9}{x(4x^{2} - 9)}\]