Prove that \begin{equation} \lim_{x\to 0}\,4x+2=2. \end{equation}

Problem: 

Prove that \begin{equation} \lim_{x\to 0}\,4x+2=2. \end{equation}

Answer: 

It is true that \begin{equation} \lim_{x\to 0}\,4x+2=2. \end{equation}