What is the largest value of $x$ such that $(4x+11)(2x-8)=x(2x+7)$? Express your answer as a fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the largest value of $x$ such that $(4x+11)(2x-8)=x(2x+7)$? Express your answer as a fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{11}{2}
What is the largest value of $x$ such that $(4x+11)(2x-8)=x(2x+7)$? Express your answer as a fraction.
train