2. $\frac{3 x}{x-5}=\frac{2}{x+3}$

Step 1 ：Cross-multiply: 3x(x+3) = 2(x-5)

Step 2 ：Simplify and solve for x: x = \( -\frac{7}{6} - \frac{\sqrt{71}i}{6} \), x = \( -\frac{7}{6} + \frac{\sqrt{71}i}{6} \)

Step 3 ：\boxed{Final Answer: x = -\frac{7}{6} - \frac{\sqrt{71}i}{6}, x = -\frac{7}{6} + \frac{\sqrt{71}i}{6}}