Problem

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

Answer

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Answer

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

Steps

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}}

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