Find the value of $x$ that satisfies $\frac{1}{3x-1} = \frac{2}{x+1}$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the value of $x$ that satisfies $\frac{1}{3x-1} = \frac{2}{x+1}$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{3}{5}
Find the value of $x$ that satisfies $\frac{1}{3x-1} = \frac{2}{x+1}$.
train