Salvation by God's grace is clearly taught in the Bible. How people are saved by God's grace is just as clearly taught in the Bible.
Only when we realize how God sees our sins are we able to appreciate the meaning of God's grace. When we realize how bad our sins are before God, we can appreciate that God is really and truly being gracious when he saves us from our sins.
The grace of God by which people are saved is not something mystical that might strike you, or might not strike you. Instead, the Bible is very practical in its teaching about God's grace that saves.
The grace of God that brings salvation teaches us how not to act, and how to act (Titus 2:11-12). This grace is inseparably connected with the truth, which is the Gospel of salvation (Ephesians 1:13). Jesus is full of grace and truth (John 1:14)! Jesus brought grace and truth (John 1:17).
The dispensation or allotment of grace that God gave to Paul involved the revelation of how to be saved in the one body, which is the church for which Christ gave himself. This grace involved preaching the unsearchable riches of Christ (Ephesians 3:1-8; 5:25).
When Barnabas observed men preaching the Gospel and people responding to that Gospel in obedience to the Lord of life, the Bible says he saw the grace of God (Acts 11:19-23). When we observe someone preaching the Gospel, and people believing it, putting their trust in Christ, repenting of their sins, confessing Jesus as the Son of God and being baptized into Christ, we see the grace of God!
Dr. Luke says that Gentiles begged Paul and Barnabas to preach the Word of God to them, and that these preachers persuaded these people to continue in the grace of God. Then Luke says they did continue in the grace of God, that is they heard the Word of God (Acts 13:42-44).
One cannot continue in the grace of God if he does not continue learning the Word of God. This is why Peter admonished Christians to grow in grace and in the knowledge of our Lord and Savior Jesus Christ (2 Peter 3:18).
We are saved by grace (Ephesians 2:8). The Bible also says we are saved by the Gospel (Romans 1:16; 1 Corinthians 15:1-2). This does not mean there are two ways to be saved. Instead, it means salvation by grace is salvation by the Gospel. But, to be saved by the Gospel, one must obey the Gospel (2 Thessalonians 1:7-9). Therefore, salvation by grace is salvation through obedience to the Gospel.
We stand in grace (Romans 5:1-2). But we stand in the Gospel (1 Corinthians 15:1). Therefore, to stand in the Gospel is to stand in grace. However, one does not stand in the Gospel unless he lives by it. Therefore, living by the Gospel is equated in the Word of God with standing in Gods grace!
When people turned from the grace of Christ, they turned to another gospel (Galatians 1:6). Paul could have said they turned to another grace, but he said they turned to another gospel. Therefore, when one turns from Gods grace, he turns from the Gospel, or when one turns from the Gospel, he turns from Gods grace.
Paul told the members of the churches of Galatia that when any of them tried to justify their religious practices by the Law of Moses, they were fallen from grace (Galatians 5:4). When one leaves the Gospel, or adds to the Gospel, he makes it a gospel other than the Gospel of Christ, and he thereby falls from grace.