Solve for $x$: $2^{x-3}=4^{x+1}$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Solve for $x$: $2^{x-3}=4^{x+1}$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-5
Solve for $x$: $2^{x-3}=4^{x+1}$
train