giải pt a. 3x+2/2 - 3x-2/6=5/3+3x b. 4x+3/5 - 6x-2/7= 5x +4/3 c. x-4/5 -x +4=x/2 - x+2/3 d. 5x + 4/6 - 8x - 1/3 = 4x+1/5+2 giúp mik vs, lời giải chi tiết nha mng

Đáp án + Giải thích các bước giải:

`a) `$\dfrac{3x + 2}{2}$`-`$\dfrac{3x - 2}{6}$`=`$\dfrac{5}{3 + 3x}$

`=> ( 3 + 3x ) ( 3x + 2 ) - ( 3x - 2 + 3x^2 - 2x ) = 10 `

`<=> 9x + 6 + 9x^2 + 6x - x + 2 - 3x^2 = 10 `

`<=> 6x^2 + 14x + 8 = 10 `

`<=> 6x^2 + 14x - 2 = 0`

`<=> 2( 3x^2 + 7x - 1 ) = 0`

`<=> 3x^2 + 7x - 1 = 0 `

Vậy `S = { ∅ }`

`B)` $\dfrac{4x + 3}{5}$` - `$\dfrac{6x - 2}{7}$`=`$\dfrac{5x + 4}{3}$

`=> 3 ( - 2x + 31 ) = 35 ( 5x + 4 ) `

`<=> - 6x + 93 = 175x + 140 `

`<=> - 6x - 175x = 140 - 93 `

`<=> - 181x = 47 `

`<=> x = - 47/181 `

Vậy `S = { - 47/181 }`

`c)`$\dfrac{x - 4}{5}$`- x + 4 = x/2 -`$\dfrac{x + 2}{3}$

`<=> 6( x - 4 ) - 30 ( x - 4 ) = 15x - 10 ( x + 2 ) `

`<=> 6x - 24 - 30x + 120 = 15x - 10x - 20 `

`<=> - 24x + 96 = 5x - 20 `

`<=> - 24x - 5x = - 20 - 96 `

`<=> - 29x = - 116 `

`<=> x = 4 `

Vậy `S = { 4 } `

`d) `$\dfrac{5x + 4}{6}$`-`$\dfrac{8x - 1}{3}$`=`$\dfrac{4x + 1 }{5 + 2}$

`<=>`$\dfrac{7 ( 5x + 4 ) }{42}$`-`$\dfrac{14( 8x - 1 )}{42}$`=`$\dfrac{6( 4x + 1 ) }{42}$

`=> 7( 5x + 4 ) - 14( 8x - 1 ) = 6( 4x +1 ) `

`<=> 35x - 28 - 112x + 14 = 24x + 6 `

`<=> - 77x + 42 = 24x + 6 `

`<=> - 77x - 24x = 6 - 42 `

`<=>  - 101x = - 36 `

`<=> x = 36/101 `

Vậy `S = { 36/101 }`