Welcome to Brand the Burning Vengeance Guide. This is my first build on Mobafire. Before commenting I would really like you to try out this build!
Don't EVER go in a fight alone, remember you are NOT a tank!
I try'd brand with alot of different build's, but you can experiment new one's
The runes can be changed a bit at your liking's
Enjoy LoL and its ok if you fail the first few times :)

Some words I use in my build are, AoE - Area of Effect
CDR - Cool down Reduction
MP - Magic Penetration

Greater Mark's of Insight are good because with those and Sorcerer's shoes you can pretty much go threw the magic resistance of ALL carry's.
Greater Seals of Clarity aren't the top choice of brand. I personally like them because I can get an early first blood because of the mana regen.
Greater Glyph of Potency are more AP for beginning and an easier first blood.
Greater Quintessence of Potency of course more ap for begining.

I pick 9-0-21, the 9 on offence are to activate the Archaic Knowledge. The 21 on utility are for mana regeneration and some cdr. Some might try 9-21-0 I try'd it
and its not that bad some armor and magic resistance for early game isn't that bad. But in total
i take 9-0-21

I pick doran's ring because it goes perfectly with the runes. Mana regeneration, some ap and some health that might save you from a turret dive at an early level. Some might even buy amplifiying tone, its not a bad choice it is more burst at an early level. Than I pick hexteck revolvers some spell vamp is good for an AoE caster like brand(for those who don't know spell vamp is lifesteal but with spells)
I pick sorcerer's shoes more magic penetration is good. Some might buy Ionian boots of Lucidity
I disagree 100% with this because why would you need cdr on brand when he has such low Cooldowns
Tear of the godess I don't get this item all the time depending on my game. If I miss kills because of mana i get it surely but if you aren't than go ahead and don't take it.
Rabadon's DeathCape is a must of brand if you are FED only FED get this item before everything except sorcerer's shoe.
Archangles staffif you are having trouble with mana its fine to get this after rabadon's deathcape.
Rylais Crystal Scepter get this for obvious reason's survivability and slow's this is a very good item for brand.
Abysal Scepter, you get this item because you reduce the magic resistance of nearby enemies so brands abilitys will penetrate more and it gives some ap and magic resistance.
Will of the aniencts you get this from your hextech revolver, some might get this early its fine but I just don't suggest it that early in the game.

OTHER POSSIBLE ITEMS

Some get Rod of ages its good for survivability at an early game but Rylais Crystal scepter does the job of this item,
Lich Bane I like this item it gives movement speed, mana regeneration and 100% magic damage after an ability is used you can choose between this and Arcahangles staff depends on how low on mana you are.
Zhonya's Hourglass this item is good aswell I get this when im getting pretty focused i get this item instead of abysal scepter.

I pick flash and ignite. Flash is better than ghost for brand he can pass threw walls and he doesn't have alot of movement speed.
Ignite this item is perfect for brand, passive + ignite 100% kill.
Clarity, I don't fancy this item I don't really want to remove ignite for clarity try and ask your team/jungler to give you his blue buff or get a tear of the goddess.

How to use brand's ability's in the good sequence. First you target the enemy with CONFLAGRATION
than as fast as you can (here is the hard part) try and hit the target with SEAR. The enemy is stunned! he has already 3/4 hp out on level 3 now you use your PILLAR OF FLAME and he has to have 1/4 2/4 Hp left with some auto attacks and ignite you have your first blood!
Why do I use this sequence I find conflagration the most ability with less power, so I use it to my own advantage. Then when I use it on an enemy I use my Q and W skills to get there maximum damage output W is the most damage dealt by brand it does 25% more damage when ablaze!

When facing enemy's like Annie on mid, and she summons tibbers take this AT YOUR OWN ADVANTAGE!
use your ultimate to hit her and tibbers she should have alot of hp out then you do the rest as mentioned above. You can beat anyone at mid and ALWAYS GO MID brand isn't good at bottom or top he has to take alot of farm!

Brand can farm pretty easily with his ability's. You use your pillar of flame then conflagration and you have a minion wave out (this might not happen at an early level) Don't use these ability's alot cause of mana problem's! enemy's might take advantage of you not having mana so watch out!

If you happen to be ganged by 2 people you can easily kill them both or get them to pretty low hp. Use your confligration on the weakest enemy and sear! The enemy is stunned then use your ultimate 1 of the enemy's is dead! now do the same as the first one if you don't have mana you have to just flash away!

You can kill them both depends if it is a tanker that can stun you easily you better run.