This is my first guide so be gentle. That aside this build will feature how I have adapted other guides/builds to fit my play style of Lux. The way I tend to play Lux is aggressive yet passive (confusing I know). What I mean is that I play well behind my minions and teammates very passively but poke with my snares and orbs (aggressively casting). All in all this is an AP carry build at heart.

The second game where I lost was a 4v5 cause our Cait rage quit after the enemy lux ulted and she flashed into it >.<

These runes are the basic Lux runes.

Greater Mark of Magic Penetration - These add basic Magic penetration to get extra damage in on the enemy
Greater Seal of Scaling Mana Regeneration - These give you some decent mana per 5 to keep poking at your enemy
Greater Glyph of Scaling Ability Power - These give you some scaling Ability power so you have some decent scaling throughout the beginning stages of the game.
Greater Quintessence of Ability Power - These give you flat Ability power to damage your enemys

Flash Useful escape but sub par, It's only really useful when You can flash over a wall other than that you cant really get enough distance to make a difference. Can be used offensively but with that you can land in a worse situation.
Ignite This one is interesting as it can really help to get that enemy just low enough for your ultimate however, unless they are running from you, you can get caught inside attack/cast range and get yourself killed. Not recommended however if used correctly can score some nice kills.
Ghost Decent escape mechanic however you can still be snared slowed etc... which kinda defeats the purpose of the the ability itself. Can be useful to chase however :P
Clairvoyance Neat spell if you want to take a more support roll. Works well with the talent build and can really save your butt sometimes OR help get a nice gank :P Neat ability i would replace Teleport if this spell is chosen.

Illumination is Lux passive ability. Anytime Lux damages a target with her abilities it charges the enemy and on your next attack will release that energy in extra damage. This scales at a rate of 10+(10 x level).
Light Binding is a skill shot snare that hits the first target for 60/110/160/210/260 +70% of your Ability Power. This ability will hit up to 2 targets but only dealing half damage and duration to the second target.
Prismatic Barrier throws Lux wand out shielding herself and any teammate the wand comes in contact with for 80/105/130/155/180 + 35% of your Ability Power. This ability can be triggered both out and back.
Lucent Singularity is an Orb of light that the caster throws at an area. Upon landing at its destination the orb will slow enemy units by 20/24/28/32/36% for the duration of the orb. The orb itself lasts for 5 seconds or can be detonated early by using the ability again. Upon detonation the Orb will do 60/105/150/195/240 +60% of your Ability Power. Also the orb gives sight of the immediate area around it.

I start with Light Binding for many reasons:

A - In case you get to your bush first and the enemy face checks great for picking them off early
2 - It's a snare! Hold them down while you kick them.
III - In case your teammate face checks like a Derp you can snare and help him get away.

I also do not take Prismatic Barrier early game for multiple reasons:

1 - Its only 80 Shield out and back so a MAX of 160 but you will not probably get the full benefit of it.
B - The extra rank in your snare has an extra 50 damage which can be life or death at these early stages of the match.
III - I have gotten 100 times more kills because of the extra damage on my snare compared to when I have saved myself with my shield.

NOTE:

It will not in any way hurt my feelings if you do take Prismatic Barrier at level 4. This is a Guide not a dictatorship :P I'm just expressing my way of doing things.

Rod of Ages I know this looks tempting I really do, but DO NOT DO IT!!! The cost and time it takes to get are what kill this item. Sure it's got some nice health, mana and Ability Power however you will be behind in damage and gold if purchased.
Boots of Swiftness Just no!
Ionian Boots of Lucidity Look tempting but No! You don't need any extra Cooldown reduction and you need the Sorc boots or in some cases the Merc Treads.

Laneing Phase

Laneing with Lux is simple. Help your teammates out and try to last hit as much as possible. Just like every other champion in the LoL universe. No but really, depending on which lane you go you can make different choices.

Mid and Solo Top

Mid can be tricky because some Champions can straight up run you over no matter what you do. When I go mid I start out with my Doran's Ring and take Lucent Singularity BU..Bu..the build says take Light Binding first?!!?? what do! LoL calm down, for mid lane having that snare first is 99.99% completely useless because its 1v1 and you don't need to snare for anyone else to get some free attacks on them at level 1. Take the Orb cast it aggressively but keep mana saved in case the jungler comes in so you can get away with a snare. Always try to land an orb where if it misses the champion you still hit minions so you can detonate your passive on them for some easy last hits. Once you level up start harassing the enemy with snares and Orbs in combination. Cast your snare and Orb nearly at the same time, that way if your snare hits you can auto attack for extra damage before you detonate the Orb. Once you hit level six you should have them withered away, land a good snare and Orb them Blast them with your LAZER for an easy kill. I usually tend to go back once i can buy Kage's lucky pick and boots, although 60% of the times I just get the pick. I Teleport back and continue the onslaught.

Bottom

9 times out of 10 you will have a ranged carry with you bottom and let me tell you if they are half as crazy as you are it gets fun. Start with Doran's Ring and Light Binding. Once the phase begins use your snare aggressively to trap enemy champions so your ad carry can get some pop shots on them. This will take its toll on them and cause them to go back or commit to an attack. Use the same casting mechanics mentioned above, cast Snare and Orb simultaneously so that if snare does land you can get some extra damage with your passive bursts. Again head back and get kage's lucky pick when you can and Teleport back into the battle IF NEEDED. Sometimes you can save Teleport and let your ad carry get some extra experience. Now when you are on bottom help your ranged carry out. Use your Lucent Singularity not only for champion damage but minion damage. Get them low so your carry can farm up a ton of money. Well what about my income!?!? Letting your AD carry farm will pay off 10 fold because once they get to level 4/5/6 with a couple items your snare orb combos with their farmed damage will be half health bursts. If you haven't gotten a kill yet once you hit level 6 its easy pickings. Just poke with your normal strategy but instead of backing out DIVE! They will run your AD carry will rape face right when they think they are safe, WTF is that bam LAZER! Easy kill.

Team Phase

Team phase is when the lanes have fallen and it becomes the Team that pushes instead of the champions. This is really simple. Imply the same tactics as laneing. Poke with your snare and orbs and when the opportunity presents it self send the LAZER out and pick up some kills. Also on this phase you need to be very liberal with your mana and shields during team engagements. Remember you have Clarity and your team will know as well. So go hog wild and CAST CAST CAST. When you need to use clarity someone else on the team will also need some extra mana.

NOTE:

Lux Will not survive much direct damage, so make sure you are playing the role of the scaredy cat. Maneuver very meekly staying in the back letting everyone else do the dirty work, BUT cast aggressively. This will sound funny but if the **** hits the fan RUN. Help your teammates out as much as you can by throwing snares and orbs to slow down the chasing enemy, which can sometimes lead to a kill, but at all costs save yourself. Keeping your Mejai's stacks is priority, it can make or break the game and this is no lie.

I would personally like to thank you for reading this guide and leave me any comments, questions, or suggestions as they will all be much appreciated. Have fun melting faces it's fun as hell. Got some much needed overhauling done thanks to jhoijhoi's Building a Guide