(5x-4)/(2x-4)=(2x+5)/(3x-6)+1/2
(15x-12)/(6x-12)=(4x+10)/(6x-12)+1/2
15x-12=4x+10+3x-6
15x-12=7x+4
8x=16
x=2
经检验x=2使分母2x-4和3x-6=0,是增根,舍去
所以原方程无解