The Good News or 'Gospel' is how despite our having separated ourselves from God, we can reconnect with Him and be saved!
To look up the scriptures mentioned, Bible Hub is free with many versions there, my fav is BSB.
The problem
Sin which is disobedience or distrust of God and His Word separates us from God.
While God is merciful, He is also just so cannot allow sin to go unpunished or unpaid for - Exodus 34:7
We as only humans have all done something wrong at some point - Romans 3:23 (spoiler in vs 24)
One way Christian belief differs from other major world beliefs is in recognizing mankind cannot resolve this on its own. - I Corinthians 1:21, 25, 2:5
Ways of temporary reconciliation were tried - ex. sacrificial system in the Old Testament - but a better more permanent solution was hoped for and promised! - II Samuel 14:14
The solution
God sent His promised Son Jesus Christ to live both a human life and a perfect sinless life - John 3:16
This way, Jesus' death on the cross could be a permanent sacrifice to pay for all our sins - Romans 5:8
This salvation from the consequences of our sin is given freely so that anyone that wants can have it - Romans 6:23, Ephesians 2:8,9
Along with reconnecting with God so we can go to be with Him in Heaven after this life, this also enhances our purpose in the current life - Ephesians 2:10
What you can do
Two things - repent and believe - Mark 1:15
Repenting is confessing and turning away from whatever sins are in your life - you may be imperfect and fall into sin again, but you can confess those to God as well - I John 1:9
Believing is placing your trust in God and His Word.
You can pray to God to do these things now.
Here are some other good presentations online if you'd like more: