solution: First, we start by squaring both sides of the equation \begin{align*} (\sqrt{3x-5})^2& =(2)^2
  \\ \Rightarrow\qquad 3x-5& =4
  \\\Rightarrow\qquad 3x& =9
  \\\Rightarrow\qquad x& =\boxed{3}.
  \end{align*}Testing, we find that this value of $x$ does indeed satisfy the equation.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  If $\sqrt{3x-5}=2$, find all possible values of $x$.
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 3
extra_info.question: If $\sqrt{3x-5}=2$, find all possible values of $x$.
extra_info.split: test