Preheat the oven to 350°F (175°C) and line two large baking sheets with parchment paper.
In a large mixing bowl, cream together the softened butter, granulated sugar, and brown sugar until the mixture is light and fluffy.
Add the egg, vanilla extract, and butter extract to the creamed mixture and beat until well combined.
In a separate medium bowl, whisk together the all-purpose flour, baking soda, and salt.
Slowly incorporate the dry ingredients into the wet ingredients, mixing on low speed until just combined.
Fold in the butterscotch chips using a spatula.
Drop rounded tablespoons of dough onto the prepared baking sheets, spacing them approximately 2 inches apart.
Bake for 8 to 10 minutes, or until the edges are set and very lightly golden.
Cool on the baking sheet for 5 minutes before transferring the cookies to a wire rack to cool completely.