Preheat oven to 350°F (175°C).
In a large bowl, cream together softened butter, granulated sugar, brown sugar, and vanilla extract until thick and well combined.
Add eggs one at a time to the creamed mixture, mixing gently after each until just incorporated.
In a separate bowl, whisk together flour, baking soda, and salt.
Gradually fold dry ingredients into the wet mixture with a spatula until just combined.
Fold in butterscotch chips gently.
Use a cookie scoop to portion about 1 tablespoon of dough per cookie and place them 2 inches apart on a nonstick baking sheet.
Bake for 8 to 10 minutes, until edges are golden but centers remain soft.
Allow cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack to cool completely.