You can export as an individual or a company but you will find it easier if you are a company.
Creating a company is not difficult and not expensive - you can do it yourself, you can purchase a ready made company or you can get an accountant to do it for you. Take a look at this link http://www.companieshouse.gov.uk/ for more information.
Depending on how you set up your exports it may be possible for you to buy the equipment from a UK supplier without paying the VAT. You would not need to charge VAT to your clients in the Middle East.
You would need to check whether or not the equipment you want to ship needs a UK export licence. Take a look at this link https://www.gov.uk/do-your-goods-need-an-export-licence
You then need to find the tariff code for each product - see https://www.gov.uk/trade-tariff
Once you have this you can then look at this web site to see the import rules and regulations and the import duty and taxes applicable to your products http://madb.europa.eu/madb/indexPubli.htm
You will need to produce an invoice, certificate of origin and packing list for starters. The certificate of origin will need to be certified by your local Chamber of Commerce - there are fees for this.
Then you need to think about packing and freight costs.
There is an open to export webinar on 6th March which will cover some of this if you are interested. There are also training courses available to new exporters both on line and in person from many different providers. My company provides training - see our website.
I hope this helps to get you started.