Preheat your oven to 375°F (190°C) and line a baking sheet with parchment paper.

In a medium bowl, whisk together the flour, baking soda, and salt.

In a large bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy.

Beat in the peanut butter, egg, and vanilla extract until well combined.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Roll the dough into 3 equal-sized balls and place them on the prepared baking sheet, then flatten each with a fork to create a crisscross pattern.

Bake for 10-12 minutes, or until the edges are golden brown and the centers are set.

Let the cookies cool on the baking sheet for a few minutes before transferring them to a wire rack to cool completely.