解方程：1/(x-6)-1/(x-5)=1/(x-4)-1/(x-3)
问题描述：
解方程：1/(x-6)-1/(x-5)=1/(x-4)-1/(x-3)
答
1/(x-6)-1/(x-5)=1/(x-4)-1/(x-3)
(x-5-x+6)/(x-5)(x-6)=(x-3-x+4)/(x-3)(x-4)
1/(x-5)(x-6)=1/(x-3)(x-4)
(x-5)(x-6)=(x-3)(x-4)
x^2-7x+12=x^2-11x+30
解得：x=9/2
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