In the bottom of a large pot, over medium high heat, cook and crumble the ground beef along with the garlic and onion. When the beef has browned, about 8 minutes, add the carrots, celery, and water to the pot.
Increase heat to high and add the diced tomatoes, crushed tomatoes, tomato sauce, kidney beans, oregano, basil, thyme, salt, and pepper. Cover with a lid.
Once the soup is boiling, stir, and reduce heat to medium; simmer uncovered for about 15-20 minutes, until the carrots are tender.
Taste the soup and adjust the salt as desired. Stir in the cabbage. Simmer a few more minutes, just until the cabbage has wilted. Serve warm.