Andrew Murray emphasizes that all Christians stumble in various ways, highlighting the necessity of relying on God's grace to avoid discouragement and to maintain faith. He encourages believers to recognize their weaknesses without losing confidence in their surrender to God, and to understand that stumblings should lead them to seek strength in Christ. Murray outlines three key lessons: not to be discouraged by stumblings, to let them drive one to faith in Jesus as the Keeper, and to use these experiences to grow in wisdom and diligence in their walk with God. Ultimately, he reassures that through reliance on Christ, believers can achieve a life free from stumbling.