Đáp án + Giải thích các bước giải:

 a) $3x - 2(x + 5) - 3 = 4-3(2x - 1)$
$\Leftrightarrow 3x - 2x - 10 - 3 = 4 - 6x + 3$

$\Leftrightarrow x - 13 = -6x + 7$

$\Leftrightarrow x + 6x = 13 + 7$
$\Leftrightarrow 7x = 20$

$\Leftrightarrow x = \dfrac{20}{7}$

b) $5(2x - 3) - 4(5x - 7) = 19 - 2(x + 11)$
$\Leftrightarrow 10x - 15 - 20x + 28 = 19 - 2x - 22$

$\Leftrightarrow -10x + 13 = -2x - 3$
$\Leftrightarrow -10x + 2x = -13 - 3$

$\Leftrightarrow -8x = -16$

$\Leftrightarrow x = \dfrac{-16}{-8} = 2$
c) $4(x + 3) - 7x + 17 = 8(5x - 1) + 166$

$\Leftrightarrow 4x + 12 - 7x + 17 = 40x - 8 + 166$

$\Leftrightarrow -3x + 29 = 40x + 158$

$\Leftrightarrow -3x - 40x = -29 + 158$

$\Leftrightarrow -43x = 129$

$\Leftrightarrow x = \dfrac{129}{-43} = -3$

d) $17 - 14(x + 1) = 13-4(x + 1) - x(5-3)$

$\Leftrightarrow 17 - 14x - 14 = 13 - 4x - 4 - 2x$

$\Leftrightarrow -14x + 3 = -6x + 9$

$\Leftrightarrow -14x + 6x = -3 + 9$

$\Leftrightarrow -8x = 6$

$\Leftrightarrow x = \dfrac{6}{-8} = \dfrac{-3}{4}$

e) $7(4x + 3) - x(4 - 1) = 15(x + 0,75) + 7$

$\Leftrightarrow 28x + 21 - 3x = 15x - 11,25 + 7$

$\Leftrightarrow 25x + 21 = 15x - 4,25$
$\Leftrightarrow 25x - 15x = -21 - 4,25$

$\Leftrightarrow 10x = -25,25$
$\Leftrightarrow x = \dfrac{-25,25}{10} = -2,525$

Đáp án+Giải thích các bước giải:

 `a) 3x-2(x+5)-3=4-3(2x-1)`

`<=>3x-2x-10-3=4-6x+3`

`<=>x-13=-6x+7`

`<=>x+6x=7+13`

`<=>7x=20`

`<=>x=20/7`

 Vậy `S={20/7}`

 `b) 5(2x-3)-4(5x-7)=19-2(x+11)`

`<=>10x-15-20x+28=19-2x-22`

`<=>-10x+13=-2x-3`

`<=>-2x+10x=13+3`

`<=>8x=16`

`<=>x=2`

 Vậy `S={2}`

 `c) 4(x+3)-7x+17=8(5x-1)+166`

`<=>4x+12-7x+17=40x-8+166`

`<=>-3x+29=40x+158`

`<=>40x+3x=29-158`

`<=>43x=-129`

`<=>x=-3`

 Vậy `S={-3}`

 `d) 17-14(x+1)=13-4(x+1)-x(5-3)`

`<=>17-14x-14=13-4x-4-2x`

`<=>-14x+3=-6x+9`

`<=>-6x+14x=3-9`

`<=>8x=-6`

`<=>x=-3/4`

 Vậy `S={-3/4}`

 `e) 7(4x+3)-x(4-1)=15(x+0,75)+7`

`<=>28x+21-3x=15x+11,25+7`

`<=>25x+21=15x+18,25`

`<=>25x-15x=18,25-21`

`<=>10x=-11/4`

`<=>x=-11/40`

 Vậy `S={-11/40}`