Hanging a tank from a wall needs to be done with great care. The simple weight of the tank is not the only consideration. Let me try to explain. If you support the weight within a very few inches of the wall, think of a very narrow tank, all you need to support is the weight and simple solutions will work. If you have something as wide as a typical tank, you also need to address the twisting force that will be placed on the wall. In essence, the top of the tank will want to fall away from the wall and you will need enough strength in your anchoring to resist that twisting force. By using appropriately designed brackets, you can minimize the force that is actually seen at the wall anchor but that can be a rather elaborate bracket to hold something as substantial as a fish tank. One solution that should work, if your tapcon can resist being withdrawn from the wall adequately, is a tall triangular shaped bracket so that the force on the outer edge of the shelf is basically translated into a vertical force at the wall itself near the bottom of the bracket. Since vertical forces are much easier for a fastener to resist, especially a fastener inserted horizontally into a wall, the shape of the bracket will make things far more likely to hold the weight. If your bracket also extended up the wall behind the tank, you could also get a fastener into it at the top that would be subjected to lower pull out forces than a fastener at the bottom of the tank would be. I am not going to try supporting any of my own tanks strictly by hanging them from a wall because other designs are far more stable and much stronger.
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