What is the largest possible median for the five number set        $\{x, 2x, 3, 2, 5\}$ if $x$ can be any integer?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the largest possible median for the five number set        $\{x, 2x, 3, 2, 5\}$ if $x$ can be any integer?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5
What is the largest possible median for the five number set        $\{x, 2x, 3, 2, 5\}$ if $x$ can be any integer?
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