Find all values of $x > 4$ which satisfy
\[\sqrt{x - 4 \sqrt{x - 4}} + 2 = \sqrt{x + 4 \sqrt{x - 4}} - 2.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all values of $x > 4$ which satisfy
\[\sqrt{x - 4 \sqrt{x - 4}} + 2 = \sqrt{x + 4 \sqrt{x - 4}} - 2.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[8,\infty)
Find all values of $x > 4$ which satisfy
\[\sqrt{x - 4 \sqrt{x - 4}} + 2 = \sqrt{x + 4 \sqrt{x - 4}} - 2.\]
train