This started with the washing machine emptying into the bathtubs, and the sink would gurgle. Now, they all have standing water. The toilets flush and the bathroom sinks are not stopped up. The line that connects to the city line has been snaked.

You have a clog but it is not in the main drain to the city. Sounds like you have a clog upstream in a branch drain line. The toilet and sink that work, are they in the same bathroom where the tub is clogged? If so then rod the tub drain, is there aa crawl or basement below this tub?