Preheat oven to 400F. Line a baking sheet with parchment paper.
Pat dry tilapia and heavily season both sides with salt and pepper.
In a medium sauce pan, melt 2 tbsp of olive oil. Add tilapia and fry until golden, approximately 3 minutes per side. Remove fish and place on parchment-lined baking sheet.
Bake fish in oven for 6 minutes or until cooked through.
To the saucepan, add butter and garlic, and cook 3-5 minutes.
Add lemon juice, white wine and capers.
Add kale and cook until kale begins to wilt.
Add tilapia back to pan and serve immediately, or serve on two plates with one piece of tilapia each, topped with half the kale mixture.