When your kitchen sink stops draining on one side, you may have a clog right under your sink. When both sides stop draining, that indicates a problem further down the pipe. People often don't realize how much gunk and grime goes down a kitchen sink, frequently there is a very thin path for your wastewater to travel through.
When this comes to a head, you need to “rod” the drain, sometimes as much as 25 to 40 feet to your city sewer. Drain rodding is a messy affair if done improperly, but Bob Mitchell of JEM Plumbing in Mokena has developed a proprietary process over the decades that maximizes the effectiveness of the cleanout AND prevents the messy splashes and gunk that so many plumbers think is inevitable.