What does Psalm 25:17 mean?

Feeling overwhelmed, David asks the Lord to deliver him from his distresses. Instead of wallowing in self-pity, David turns to God for help. A believer may feel so burdened with care and so anxious about his problems that he may toss and turn all night. However, instead of tossing and turning in bed, he can turn his troubles over to the Lord, as David did, and toss them onto the shoulders of the Great High Priest. First Peter 5:7 talks about "casting" our anxieties on God because He cares for us.

Hebrews 4:16 encourages us to draw near to the throne of grace with confidence in order to receive mercy and find grace to help in time of need. Writing to the Philippian Christians while under arrest and chained to Roman guards, the apostle Paul exhorted his readers to rejoice in the Lord. He wrote, "The Lord is at hand; do not be anxious about anything, but in everything by prayer and supplication with thanksgiving let your requests be made known to God. And the peace of God, which surpasses all understanding, will guard your hearts and minds in Christ Jesus" (Philippians 4:5–7). Long before Paul addressed the Philippians, David applied the perfect prescription for peace.