Heat the oil in a large, heavy pot over medium heat. Saute the carrots and onions until they're soft. 2-3 minutes.
Stir in the red pepper flakes, tomatoes, and garlic. Simmer until most of the liquid from the tomatoes has evaporated.
Stir in the greens. Simmer over medium-low heat until they're tender, 2-30 minutes depending on the type of green.
Add the chickpeas. Roughly chop the basil and stir into the stew,
Taste and season with pepper.
Heat up well.
Serve with balsamic vinegar. Diners can add a splash if they wish.