1/(x+5)+1/(x+8)=1/(x+6)+1/(x+7)
1/(x+5)-1/(x+6)=1/(x+7)-1/(x+8)
{(x+6)-(x+5)}/{(x+5)(x+6)} = {(x+8)-(x+7)}/{(x+7)(x+8)}
1/{(x+5)(x+6)} = 1/{(x+7)(x+8)}
(x+5)(x+6) = (x+7)(x+8)
x²+11x+30 = x²+15x+56
11x-15x=56-30
-4x=26
x = -26/4 = -6.5
经检验x=-6.5是原方程的解
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