To cut side-swept bangs with layers, you can follow these steps:

1. Part the hair in a deep side part starting at the front hairline about an inch in from the end of the eyebrow.
2. Take a forward diagonal part starting about an inch from the hairline, moving towards the opposite side of the face.
3. Pull this section parallel to the part and cut the hair at an angle.
4. Repeat on the other side.
5. Comb the bangs forward and trim any uneven pieces.
6. Style your bangs.

Here is a tutorial video that might help you visualize these steps better: