In a large stockpot, saute leeks in olive oil over medium-high heat until soft (about 5 minutes). Add garlic and stir until fragrant.
Add the carrots, potatoes, broth, and water. Cover and bring to a boil.
Lower heat and simmer until potatoes are soft (about 20 minutes).
Remove from heat and puree using a stick blender.
Add the kale and beans and stir until kale is wilted. Enjoy!