I am summoner CheesyBoy8 and I have had a fair amount of experience playing Jinx. Jinx is a great champion if you know how to position correctly to apply the most damage possible. Jinx's Q, the pinnacle of her kit, offers lots of possibilities as to how you play the champion.

I find that flash and barrier works best on Jinx as it gives Jinx more survivability and thus peel in a teamfight or duel. Teleport can also be taken if your support is doing so too.

Darkk Mane build:
Muramana
Duskblade
Youmuu's
Edge of night
Berserker's Greaves
Runaan's Hurricane

CheesyBoy8 build:
Berserker's Greaves
Runaan's Hurricane
Rapid Firecannon
Infinity Edge
Mercurial Scimitar
Seraph's Embrace

Combo Build:
Berserker's Greaves
Runaan's Hurricane
Infinity Edge
Youmuu's
Muramana
Duskblade

Max Q, then W, then E.

E offers little damage unless you build Seraph's Embrace early on so it is the least valuable piece of your kit. W, while it offers lots of damage it can be maxed second for a mid to late game power spike with the damage and a couple of items. Q is to be maxed first as it is the essential part of Jinx's kit.

Fleet Footwork and Overheal offer survivability both in lane and in the mid game so Jinx can power up into the late game as she is a hypercarry. Alacrity synergises with her passive and helps significantly mid and late game. Celerity and Gathering Storm are useful late game so thet is why you take them.

Jinx is a good person for you to pick up and play and also with these varied builds provided above she can be played bot or mid. I prefer to use Jinx as an ADC as she offers the most damage there to win teamfights and ultimately the game. If you can learn Jinx properly it pays off as it really helps as to not lose your life early or mid game.