[tex]4(8-x)+36=102-6x\ \ \ \ |\text{use distributive property}\\\\(4)(8)+(4)(-x)+36=102-6x\\\\32-4x+36=102-6x\\\\68-4x=102-6x\ \ \ \ |-68\\\\-4x=34-6x\ \ \ \ |+6x\\\\2x=34\ \ \ \ \ |:2\\\\\boxed{x=17}[/tex]