PSA: Having more kills than your lane opponent isn't winning lane. Neither is having more CS.
It's getting the turrets, and while having higher CS is a large part of that, as it means you pushed more, it doesn't mean you won lane. If you have 5 kills 0 deaths 5 assists 200 CS but their outer turret is still standing, and your inhibitor turret is down, you lost lane. Most likely you roamed too much, or tried to duel too much when you should've been more passive. That is all.