Creating the perfect Brown Sugar Peach Cake is a straightforward process when following these simple steps:

1. Preheat the Oven: Set your oven to 350°F (175°C) and grease and flour a 9×13-inch baking pan.
2. Mix Dry Ingredients: In a large bowl, combine the flour, brown sugar, granulated sugar, baking powder, baking soda, and salt. Stir until well blended.
3. Cream Butter: In another bowl, beat the softened butter until creamy. Gradually add the combined dry ingredients, mixing until crumbly.
4. Add Eggs and Vanilla: Incorporate the eggs and vanilla extract into the mixture, mixing until fully combined and smooth.
5. Fold in Sour Cream: Gently add the sour cream, mixing just until smooth.
6. Prepare Peaches: In a small bowl, toss the sliced peaches with lemon juice to prevent browning.
7. Combine Mixtures: Fold the peaches gently into the batter, ensuring they are evenly distributed.
8. Pour into Pan: Pour the batter into the prepared baking pan, smoothing the top with a spatula.
9. Bake the Cake: Place the pan in the preheated oven and bake for 35-40 minutes, or until a toothpick inserted into the center comes out clean.
10. Cool the Cake: Once baked, remove the cake from the oven and let it cool in the pan for about 15-20 minutes before transferring it to a wire rack to cool completely.
11. Serve: Optionally, dust the top with powdered sugar before serving for a beautiful finish.

These step-by-step instructions will help you create a scrumptious Brown Sugar Peach Cake that is sure to become a favorite for years to come!