Question

1/2{x-1/3[x-1/4(x-2/3)]-3/2}=x+3/4

要简便计算！

Answer 1

1/2{x-1/3[x-1/4(x-2/3)]-3/2}=x+3/4
x-1/3[x-1/4(x-2/3)]-3/2=2(x+3/4)
x - 1/3(x- x/4 +1/6) - 3/2 - 2(x+3/4) = 0
x- 1/3 (x- x/4 +1/6) -3/2 - 2x- 3/2 = 0
x- 1/3 (3x/4 +1/6) -3/2 - 2x- 3/2 = 0
x- x/4 - 1/18 - 3/2 - 2x - 3/2 = 0
-5x/4 - 55/18=0
x=-22/9

追问

x-1/3[x-1/4(x-2/3)]-3/2=2(x+3/4)是怎样到x - 1/3(x- x/4 +1/6) - 3/2 - 2(x+3/4) = 0的？可以详写一下吗？

追答

x - 1/3[x-1/4(x-2/3)]-3/2=2(x+3/4)
x - 1/3[x-1/4(x-2/3)]-3/2 - 2(x+3/4) = 0
x - 1/3(x- x/4 +1/6) - 3/2 - 2(x+3/4) = 0

追问

为神马右边得到0？

追答

等式两边同减2(x+3/4)

追问

要简便计算！！！

追答

这已是最简的，自己再好好想想。