Can someone who is saved, someone who has accepted Jesus, fall away and lose their salvation?

In a word -- no.  Having said that, some explanation is in order. When a person accepts Jesus as their Lord and Savior, they must be sincere in that acceptance. They must have a right heart. They cannot just be playing a game or dabbling in Christianity. They must develop a personal relationship with Jesus. True believers won't fall away though they may have times where they "backslide."  Luke 8:13 speaks of falling away, but I believe this is referring to the appearance of falling away, rather than truly falling away. I think anyone who "falls away" was not truly sincere in their acceptance. John 10:28 says "I give them eternal life, and they shall never perish; no one can snatch them out of my hand."  Since "no one" includes us, we cannot do anything to take ourselves away from God.  Again this assumes we were sincere in our acceptance.  

Salvation is a gracious gift of God. Once accepted, it is ours and we cannot lose it. 

Related scripture:  Ephesians 2:8

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