"The Terran three rax"
The Terran three rax is a solid and easy opening as Terran and works very well in Bronze to Gold league but with good timings and a good gamesense you will be able to use this opening in any league. I highly recommend Terran beginners to try this one out.
From this opening you will get a very big force just a few minutes into the game. You will also have an acceptable economy.

What you want to accomplish with this opening is a strong attack somewhere between the 7 and 9 minute mark. Some opponents will will die from just the first attack but when you meet better players you will see that you have to follow up that attack with something. But we'll get into that later.
The basic buildorder is:
10 Supply depot (At ramp if vs Zerg or Protoss, not recommended vs Terran)
12 Barracks (Also at ramp)
13 Gas
15 Marine
16 Orbital Command
16 Supply depot (At your ramp to complete the wall-off)

After your first marine is done build a tech lab on your barracks.
When the supply depot you built on 16 is done throw down 2 more barracks to make them three in total.
Now here style, matchup and map comes into play. Some people like to get one barracks with a reactor and two with tech lab. This will get you a lot of marauders but not a lot of marines. You could get 2 reacors instead but then you will not have as many marauders. This is just basicly up to you and how you want to play.
Some people also get stimpack or concusive shells really early. I suggest you try this build against an A.I first just to try it out and see what fits you best. If you want to do more researching you should start thinking of taking your other gas some time after you've thrown down your 2nd and 3rd barracks.
Never forget your supply!
24 Supply depot
If you have not been attacked or harassed during this opening, an attack from you at 50 food is often devastating to your opponent. In the lower levels of play if you've done this opening good this is where you win.
My opponent killed of my attack what do I do?
Something good to do is to expand while you attack. Because your opponent has no way to kill your expo if your whole army is in the opponents main. To play safe, skip to build a few units and save up 400 minerals and then throw down a Command Center when your units and moving out. If your attack fails and your opponent is counter pushing place a few bunkers by your expo and you should be fine.
When your expo is up and mining you could throw down more barracks or tech up to get medivacs or some tanks.
Another way is to send SCVs with either your 1st or 2nd attack. They can be a meatshield for your marine and marauder army or they can be used to build bunkers inside your opponents main. Be careful here, if you send to many and you lose the fight it will be a long way for you to get back into the game. On the other hand if you send too few your attack might suffer from that. Try to send one SCV to scout your opponents ramp, you will hopefully see the most of his units there. Then pick out as many as you think you will need. (Or all of them if you want to all in)
+ Good on smaller maps. (Examples: Steppes of war, Delta Quadrant)
+ Gets you a lot of units, early to mid game.
+ With a good transition can even be a good opening in a macro game.
Cons:
- Banelings kill this army very, very easy. If you do this opening against a Zerg try to do your first attack before he is able to get the banelingnest. (Or if you have a good mousehand split your units)
- You dont get a lot of units before all three of your barracks are finished, walling in against Protoss and Zerg is a good idea.
- Bad on larger maps.
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