solution: Multiplying both sides by $x-5$ and by 3 gives $2(x-5) = 4(3)$.  Expanding the left side gives $2x-10 = 12$.  Adding 10 to both sides gives $2x = 22$ and dividing by 2 gives $x = \boxed{11}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  Solve the following equation for $x$: \[ \ \frac{2}{3} = \frac{4}{x-5}.\]
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 11
extra_info.question: Solve the following equation for $x$: \[ \ \frac{2}{3} = \frac{4}{x-5}.\]
extra_info.split: test