Most of the time clog is the only reason why the slow draining problem occurs on the kitchen sink with the garbage disposal. So, if your kitchen sink clogged both sides, then start by unplugging the garbage disposal after turning it off. Next, throw some liquid solution or cleaner that has at least 1/4 cup baking soda or maybe half cup of vinegar to ensure easy unclogging. If you don’t have that kind of solution, then grab them from the kitchen to make the solution. After that, turn on the water supply to soak that. Repeat the same thing 2 times and then wash it off to solve the unclog issue.