试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)

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试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)
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试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)
试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)

试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)
1/2(x-1/2(x-1)-1+2)=2/3(x-1) {将“+1”变为“-1+2”}
1/2((x-1)-1/2(x-1)+2)=2/3(x-1) → 1/2(1/2(x-1)+2)=2/3(x-1)
1/4(x-1)+1=2/3(x-1) {去括号}
5/12(x-1)=1 {移项,合并同类项}
x-1=12/5
x=17/5=3.4