Hackers Help: How to mount VITTSJÖ to the wall?

So I really want to turn a VITTSJÖ unit into a mounted wall unit (see picture, link below!) for my kitchen. I’m a new house owner on a budget and I’m very excited to decorate the house. I need more cabinet space for cheap. I have minimal experience with handling tools.

I would love to have wall shelves like the one in the picture! Any suggestions how I could securely mount a VITTSJÖ shelf on to the wall?

Photo: Dwell.com
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