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问题: 初二分式方程

2/2x-5 - 1/x-5 = 2/2x-1 - 1/x-3

解答:

2/(2x-5)-1/(x-5)=2/(2x-1)-1/(x-3)
--->1/(x-5)-1/(x-3)=2/(2x-5)-2/(2x-1)
--->[(x-3(-(x-5)]/[(x-5)(x-3)]=2[(2x-1)-(2x-5)]/[(2x-5)(2x-1)]
--->2/(x^2-8x+15)=8/(4x^2-12x+5)
--->4(x^2-8x+15)=4x^2-12x+5
--->32x+60=-12x+5
--->44x=-55
--->x=-5/4.