The invention relates to a motor vehicle having an internal combustion engine and an exhaust gas system, which comprises an exhaust gas line by means of which the exhaust gas can be removed from the internal combustion engine, as well as an exhaust gas recirculation line by means of which the exhaust gas can be recirculated into the internal combustion engine from the exhaust gas line. The exhaust gas recirculation line has an exhaust gas cooler and a condensate line for removing the condensate from the recirculated exhaust gas, wherein the condensate line is connected with a first end to the exhaust gas recirculation line downstream of the exhaust gas cooler in the direction of flow of the exhaust gas and with a second end to the exhaust gas line. When the motor vehicle is running, the back pressure at the first end of the condensate line is equal to the back pressure at the second end of the condensate line, so that any condensation water that accumulates can be removed without the exhaust gas flowing back into the exhaust gas line from the exhaust gas recirculation line. As an alternative, a closure element for closing the condensate line can be provided. Both variants provide a simple method for removing the condensation water without any necessity for expensive condensate traps or collecting tanks.