Method for recovering hydrocarbons from plastic-containing waste and organic liquids based on oil, collectively referred to as recyclable plastic materials, preferably from polyolefin-rich recyclable plastic materials, by means of purely thermolytic cracking in a cracking reactor, with a first heating device and a second heating device being arranged upstream thereof, without the use of catalysts, wherein the optionally and preferably already partially melted recyclable plastic materials are fed to a first heating device in which they are (further) melted at a temperature of from 300°C to 380°C, the melted recyclable plastic materials together with the recycle stream which has been pumped out of the cracking reactor are supplied to a second heating device in which they are further heated to temperatures of from 380°C to 400°C, the melted recyclable plastic materials together with already formed hydrocarbon-containing vapors are fed from the second heating device to the cracking reactor, in which the melted recyclable plastic materials are further split (cracked) at approx. 400°C, wherein the gaseous hydrocarbons are fed to a partial condenser in which long-chain hydrocarbons condense and are returned to the cracking reactor, short-chain hydrocarbons exit the cracking reactor and are fed to a distillation apparatus in which they are broken down into a gaseous fraction and a liquid fraction, high-energy pitch-like and tar-like substances which do not change into the gaseous state and excess carbon which results during the thermolytic cracking of polymers are pumped out of the cracking reactor together with the recycle stream and are separated into recycle stream and residue by means of a separator system (8, 9), wherein the recycle stream, between the first heating device and the second heating device, is admixed with the recyclable plastic materials melted in the heating device and the residue is conducted into a collecting tank. the optionally and preferably already partially melted recyclable plastic materials are fed to a first heating device in which they are (further) melted at a temperature of from 300°C to 380°C, the melted recyclable plastic materials together with the recycle stream which has been pumped out of the cracking reactor are supplied to a second heating device in which they are further heated to temperatures of from 380°C to 400°C, the melted recyclable plastic materials together with already formed hydrocarbon-containing vapors are fed from the second heating device to the cracking reactor, in which the melted recyclable plastic materials are further split (cracked) at approx. 400°C, wherein the gaseous hydrocarbons are fed to a partial condenser in which long-chain hydrocarbons condense and are returned to the cracking reactor, short-chain hydrocarbons exit the cracking reactor and are fed to a distillation apparatus in which they are broken down into a gaseous fraction and a liquid fraction, high-energy pitch-like and tar-like substances which do not change into the gaseous state and excess carbon which results during the thermolytic cracking of polymers are pumped out of the cracking reactor together with the recycle stream and are separated into recycle stream and residue by means of a separator system (8, 9), wherein the recycle stream, between the first heating device and the second heating device, is admixed with the recyclable plastic materials melted in the heating device and the residue is conducted into a collecting tank.