1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4解方程.能否简便?注意,

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1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4解方程.能否简便?注意,
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1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4解方程.能否简便?注意,
1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4解方程.能否简便?注意,

1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4解方程.能否简便?注意,
1/4x+1/5x+1/6x+1/7x-3/4-4/5-5/6-6/7=-4 全部乘出来；
(1/4+1/5+1/6+1/7)x-(4-1/4-1/5-1/6-1/7)=-4 带x项合并,3/4转化成1-1/4,以此类推；
(1/4+1/5+1/6+1/7)x-4+(1/4+1/5+1/6+1/7)=-4 把-4提出来,其他化成加；
(1/4+1/5+1/6+1/7)(x+1)=0 合并同类项；
x+1=0
x=-1

1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4
同时乘以420，得
105(x-3)+84(x-4)+70(x-5)+60(x-6)=-1680
105x-315+84x-336+70x-350+60x-360=-1680
319x-1361=-1680
319x=-319
x=-1有没有简便的方法？额。。好像没有，如果...

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1/4(x-3)+1/5(x-4)+1/6(x-5)+1/7(x-6)=-4
同时乘以420，得
105(x-3)+84(x-4)+70(x-5)+60(x-6)=-1680
105x-315+84x-336+70x-350+60x-360=-1680
319x-1361=-1680
319x=-319
x=-1

收起

可以把1/4(x-3)看成-1，即1/4（x-3)=-1,以此类推1/5（x-4）=-1
1/4（x-3）=-1 等式两边乘以4
x-3=-4
x=-1
那是因为4个-1相加正好得-4，大家可以检验一下

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