This document is a comprehensive tutorial on cross-compiling Linux kernels on the x86_64 architecture, detailing the value of cross-compiling, system preparation, installation of cross-compilers, and automation of testing. It covers specific commands for installing compilers for various architectures like ARM, MIPS, and PowerPC, along with procedures to configure system repositories and convert RPM packages to DEB. Additionally, it includes tips for compiling across different architectures and resources for further reference.