I can't think of anyone who can get through life without needing someone along the way to give a "boost." There are some who stupidly say, "I don't need anyone's help." They eventually learn that, as the old saying goes, "No man is an island." God made us creatures of dependence, mostly dependent upon Him. But this also includes depending on others. It is our nature to migrate towards others in times of need.
No one understands this more than the Christian. The disciple of Christ has come out of Satan's domain and into the kingdom (Col. 1:13). The saint of God knows that Satan will not just let the past alone, but will try again to ensnare and trap him back into sin. To avoid these schemes, the Christian needs help, even help from fellow followers of the Lord. With aid from those who have also put their trust in God, sin can be defeated more easily than by facing it all alone.
This is precisely the point made in Heb. 3:12-13. Israel's not-so glorious past has just cataloged, especially how they "hardened their hearts" in rebellion to God and His servant Moses (vv. 7-11). On the heels of this review, the writer exhorts his readers to take care, "lest there should be in any one of you an evil, unbelieving heart, in falling away from the living God" (v. 12). One way to ward off the danger of apostasy is mutual encouragement (v. 13). Sin is so deceitful that before we realize it, we can be miles away from God. Having brethren close by to encourage us helps us stay faithful.
Later, in Heb. 10:24-25, the writer stresses the importance of gathering with the church when it assembles. Attendance is important, for we "stir up" others to love and good works. We also "exhort one another" while the Day approaches. However, we will not just find such encouragement when the church assembles for worship. The New Testament also teaches that we can so encourage other believers in smaller groups. In Acts 20:20, Paul said he taught "publicly and from house to house." No doubt in these smaller groups, some were encouraged. In Acts 2:46, the first Christians were together "in the temple" (the assembly) but also "from house to house" in social associations. Strong ties were built to help each other in fighting sin. Brethren, that's encouraging!!