$\begin{align}  & 3x-6\lt x+2\to 2x\lt 8\to x\lt 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1) \\  & 3x-6\gt 0\to x\gt 2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2) \\  & (1),\,(2)\to 2\lt x\lt 4 \\ \end{align}$