x-1/2[x-1/2(x-1/2)]=2

来源：百度知道编辑：UC知道时间：2024/09/24 09:07:23

等式两边都乘2得：2*x-x+1/2(x-1/2)=4
等式两边都再乘2得：4*x-2*x+x-1/2=8
合并同类项得：3*x=17/2
x=17/6

x=3/2

x-1/2[x-1/2(x-1/2)]=2
x=2-1/2[x-1/2(x-1/2)]
x=2-1/2*x-1/2*1/2*(x-1/2)
x=2-1/2*x-1/4(x-1/2)
x=2-1/2*x-1/4*x+1/2*1/4
x+1/2*x-1/4*x+1/2*1/4=2
x+1/2*x-1/4*x=2-1/8
x+1/2*x-1/4*x=15/8
5/4*x=15/8
x=(15/8)/(5/4)
x=2/3

2x-[x-1/2(x-1/2)]=4
2x-[x-1/2x+1/4]=4
2x-x+1/2x-1/4=4
8x-4x+2x-1=16
6x-1=16
6x=17
x=17/6

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