Question

试用简便方法解方程1/2(X-1/2(X-1)+1)=2/3(X-1)

Answer 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