expression, ichidan verb
open a pathway; find a way; pave the way
Idiomatic expression meaning a path or opportunity becomes available, often through effort or change in circumstances. Used both literally and figuratively.
努力を続ければ、いつか道が開けるだろう。
If you keep working hard, a path will open up someday.
新しい技術のおかげで、治療法に道が開けた。
Thanks to new technology, a way to a treatment has opened up.