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If someone decides to change his lifestyle and became a true Muslim then how can his good deeds outweigh bad deeds?

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مَن جَاءَ بِالْحَسَنَةِ فَلَهُ عَشْرُ أَمْثَالِهَا ۖ وَمَن جَاءَ بِالسَّيِّئَةِ فَلَا يُجْزَىٰ إِلَّا مِثْلَهَا وَهُمْ لَا يُظْلَمُونَ

Whoever comes [on the Day of Judgement] with a good deed will have ten times the like thereof [to his credit], and whoever comes with an evil deed will not be recompensed except the like thereof; and they will not be wronged.

https://quran.com/6/160


مَن جَاءَ بِالْحَسَنَةِ فَلَهُ خَيْرٌ مِّنْهَا ۖ وَمَن جَاءَ بِالسَّيِّئَةِ فَلَا يُجْزَى الَّذِينَ عَمِلُوا السَّيِّئَاتِ إِلَّا مَا كَانُوا يَعْمَلُونَ

Whoever comes [on the Day of Judgement] with a good deed will have better than it; and whoever comes with an evil deed - then those who did evil deeds will not be recompensed except [as much as] what they used to do.

https://quran.com/28/84


ثُمَّ بَدَّلْنَا مَكَانَ السَّيِّئَةِ الْحَسَنَةَ حَتَّىٰ عَفَوا وَّقَالُوا قَدْ مَسَّ آبَاءَنَا الضَّرَّاءُ وَالسَّرَّاءُ فَأَخَذْنَاهُم بَغْتَةً وَهُمْ لَا يَشْعُرُونَ

Then We exchanged in place of the bad [condition], good, until they increased [and prospered] and said, "Our fathers [also] were touched with hardship and ease." So We seized them suddenly while they did not perceive.

https://quran.com/7/95


وَلَا تَسْتَوِي الْحَسَنَةُ وَلَا السَّيِّئَةُ ۚ ادْفَعْ بِالَّتِي هِيَ أَحْسَنُ فَإِذَا الَّذِي بَيْنَكَ وَبَيْنَهُ عَدَاوَةٌ كَأَنَّهُ وَلِيٌّ حَمِيمٌ

And not equal are the good deed and the bad. Repel [evil] by that [deed] which is better; and thereupon the one whom between you and him is enmity [will become] as though he was a devoted friend.

https://quran.com/41/34


I hope these ayats helps you understand how a good deed outweighs bad deed.

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Becoming a good Muslim and doing good deeds is enough for one, than worrying about the outweighing the bad deeds. Leave it to Allah. It is His prerogative. Thanks.

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