What is the value of $x$ for which $(2008+x)^2=x^2$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the value of $x$ for which $(2008+x)^2=x^2$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-1004
What is the value of $x$ for which $(2008+x)^2=x^2$?
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