Đáp án:

`3/4 + 2*(2x-2/3)=2`

`2*(2x-2/3) = 2-3/4`

`2*(2x-2/3) = 5/4`

`2x-2/3 = 5/4 : 2`

`2x - 2/3 = 5/4 * 1/2`

`2x - 2/3 = 5/8`

`3x = 5/8 + 2/3`

`2x = 31/24`

`x = 31/24 * 1/2`

`x = 31/48`

Vậy `x = 31/48`

`b)` `2*(1/2x-1/3)-3/2  = 1/4`

      `2*(1/2x-1/3) = 1/4+3/2`

      `2*(1/2x-1/3) = 7/4`

      `1/2x-1/3 = 7/4 : 2`

      `1/2x-1/3 = 7/4 *1/2`

      `1/2x-1/3 = 7/8`

      `1/2x = 7/8 + 1/3`

      `1/2x = 29/24`

      `x = 29/24 * 2`

      `x = 29/12`

Vậy `x = 29/12`

`c) (1/2+2x)*(2x-3)=0`

`=>` `1/2 + 2x = 0` hoặc `2x-3=0`

`=>` `2x = (-1)/2` hoặc `2x=3`

`=>` `x = (-1)/4` hoặc `x=3/2`

Vậy `x = (-1)/4` hoặc `x=3/2`