ALL Christians should study and understand all key Scriptures that reveal how one comes to salvation and faith in Jesus. Unfortunately, many people and churches often cherrypick various Scriptures that support their view of Salvation / HOW God saves while simultaneously ignoring other Scriptural passages which contradict their understandings. Simple examples of unScriptural beliefs might be "Easy Believism," or perhaps, "Works-Based Salvation." There are many churches that wrongly create and teach false doctrinal beliefs about how one is saved because they have favored a certain extreme understanding by failing to adopt a comprehensive and nuanced view of ALL of the relevant Scriptures that teach about Salvation.
NO, you cannot be saved by your good works! NO, belief in Christ alone does not save! (Note that even the devil and demons well believe in and know exactly who Jesus is!). YES, every truly saved person will have evidences of good works in their life.
See this short video that explains how Salvation works while refuting false understanding about it - and using Scripture to do so:
https://www.youtube.com/watch?v=9TtIYG17Oe0