You need to "clean" everything in the fuel system. I doubt that detergent is harsher than gas but it sure does not flow like gas. Pull the carb and use carb cleaner to clean out all the little holes. Take your time and do every little hole. Carbs for hondas are somewhat cheap so a replacement may be in order. Just make sure all the soap is gone first. Fuel tank, Fuel lines, Fuel cut off valves. Fuel filters and spark plug. Clean or replace all.