What is the positive solution to the equation $x = \frac{1}{2+\frac{1}{x-2}}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the positive solution to the equation $x = \frac{1}{2+\frac{1}{x-2}}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
What is the positive solution to the equation $x = \frac{1}{2+\frac{1}{x-2}}$?
train