The crash happened around 10.40pm last night on the city’s Telford Road.
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One man was cut free from the wreckage by fire crews and taken by ambulance to Edinburgh Royal Infirmary, the Scottish Fire and Rescue Service confirmed.
Teams from Crewe Toll and Tollcross fire stations were involved in the work at the scene.
Medic One, a team of medical and nursing specialists from the hospital, was also in attendance.