解方程】(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)

解方程】(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)
解方程】(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)
(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)

解方程】(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)(x+8)/(x-3)-(x-9)/(x-4)=(x+7)/(x+8)-(x+2)/(x+3)
两边分别通分：{(x-8)(x-4)-(x-9)(x-3)}/(x-3)(x-4)={(x+7)(x+3)-(x+2)(x+8)}/(x+8)(x+3)
将分子化简：
5/(x-3)(x-4)=5/(x+8)(x+3)
得：(x-3)(x4)=(x+8)(x+3)
展开：x^2-7x+12=x^2+11x+24
解得：x=-2/3
经检验,X=-2/3是方程的根.