(2x-6)/(x-2)÷[(5-x)/(x-2)-2] =(2x-6)/(x-2)÷{[(5-x)-2(x-2)]/(x-2)} =(2x-6)/(x-2)÷[(9-3x)/(x-2)] =2(x-3)/(x-2)×(x-2)/[-3(x-3)] =-2/3