To make a simple solution for cleaning painted walls, add a small amount of dish soap to the bucket full of warm water. Use a clean sponge and the solution to clean the wall starting at the top and working your way down. Always wring out the sponge so that it is just damp to avoid spilling everywhere. Once you have cleaned the entire wall, fill your bucket with just warm water and rinse the wall off with the damp sponge. Once finished, dry the wall with a terry cloth towel.