行ける

行ける

"行ける" means "can go" or "is able to go."

Here, 行ける indicates the ability to go to the cinema by walking.

その映画館には歩いて行ける。

You can walk to that cinema.

In this context, 行ける is used to inquire about someone's capability or possibility to attend.

明日のパーティーには行ける？

Can you attend tomorrow's party?

Here, 行ける metaphorically refers to advancing or progressing toward resolution.

彼の提案で問題解決の方向に行ける気がする。

I feel like we can move toward a solution with his proposal.