1/2(x+1)+1/4(x+3)=3-1/3(x+2)

Đáp án:

`1/2(x+1)+1/4(x+3)=3-1/3(x+2)`

`1/2x + 1/2 + 1/4x + 3/4 = 3 - 1/3x - 2/3`

`1/2x + 1/4x + 1/2 + 3/4 = ( 3- 2/3) - 1/3x`

`3/4x + 5/4x = 7/3 - 1/3x`

lấy vế trừ vế ta có:

`3/4x + 5/4x - 7/3 + 1/3x = 0`

`3/4x + 1/3x - (7/3 - 5/4) = 0`

`13/12x  = 13/12`

`=> x = 1`
Vậy `x=1`

Giải thích các bước giải:

`1/2 (x+1) + 1/4 (x+3) = 3-1/3 (x+2)`

`<=> 1/2 x + 1/2 + 1/4 x + 3/4 = 3 -1/3 x -2/3`

`<=> 1/2 x + 1/4 x + 1/3 x = 3-2/3 -1/2 - 3/4`

`<=> 13/12 x = 13/12`

`<=> x = 13/12 : 13/12`

`<=> x=13/12 .12/13`

`<=> x=1`

Vậy `x=1`