a) x - 8 - (12 - 2x) = -20

=> x - 8 - 12 + 2x = -20

=> (x + 2x) + (-8 - 12) = -20

=> 3x - 20 = -20

=> 3x = 0 => x = 0

b) -27 + (x + 8) - ( +11) = 2

=> -27 + x + 8 - 11 = 2

=> -27 + x = 2 + 11 - 8

=> -27 + x = 5

=> x = 5 - (-27) = 32

c) -2x - 16 = -2 - (3x + 9)

=> -2x - 16 = -2 - 3x - 9

=> -2x - 16 + 2 + 3x + 9 = 0

=> (-2x + 3x) + (-16 + 2 + 9) = 0

=> x - 5 = 0

=> x = 5

\(a,x-8-\left(12-2x\right)=-20\)

\(x-8-12+2x=-20\)

\(x+2x-8-12=-20\)

\(3x-20=-20\)

\(3x=-20+20\)

\(3x=0\)

\(x=0\)

\(b,-27+\left(x+8\right)-\left(+11\right)=2\)

\(-27+x+8-11=2\)

\(x-27+8-11=2\)

\(x-30=2\)

\(x=2+30\)

\(x=32\)

\(c,-2x-16=2-\left(3x+9\right)\)

\(-2x-16=2-3x-9\)

\(-2x+3x=2-9+16\)

\(x=9\)

Học tốt

a) x - 8 - ( 12 - 2x ) = -20

x - 8 - 12 + 2x = -20

x + 2x = -20 + 8 + 12

3x = 0

x = 0 \(\left(x\in Z,tm\right)\)

Vậy x=0

b) -27 + ( x + 8 ) - ( +11 ) = 2

-27 + x + 8 - 11 = 2

x = 2 + 27 - 8 + 11

x = 32 \(\left(x\in Z,tm\right)\) 

Vậy x = 32

c) -2x - 16 = 2 - ( 3x + 9 )

-2x - 16 = 2 - 3x - 9

-2x + 3x = 2 - 9 +16

x = 9 \(\left(x\in Z,tm\right)\)

Vậy x = 9

Bài 1 :

a) 7^2x-1 = 343

=> 7^2x-1 = 7³

=> 2x - 1 = 3 => 2x = 4 => x = 2

b) (7x - 11)³ = 2⁵.3² + 200

=> (7x - 11)³ = 32.9 + 200

=> (7x - 11)³ = 488

xem kĩ lại đề này :vvv

c) 174 - (2x - 1)² = 5³

=> (2x - 1)² = 174 - 5³

=> (2x - 1)² = 174 - 125 = 49

=> (2x - 1)² = (\(\pm\)7)²

=> \(\orbr{\begin{cases}2x-1=7\\2x-1=-7\end{cases}}\Rightarrow\orbr{\begin{cases}x=4\\x=-3\end{cases}}\)

Mà x \(\in\)N nên x = 4( thỏa mãn điều kiện)

Bài 2 :

a) x⁵ = 32 => x⁵ = 2⁵ => x = 2

b) (x + 2)³ = 27

=> (x + 2)³ = 3³

=> x + 2 = 3 => x = 3 - 2 = 1

c) (x - 1)⁴ = 16

=> (x - 1)⁴ = 2⁴

=> x - 1 = 2 => x = 3 ( vì đề bài cho x thuộc N nên thỏa mãn)

d) (x - 1)⁸ = (x - 1)⁶

=> (x - 1)⁸ - (x - 1)⁶ = 0

=> (x - 1)⁶ [(x - 1)² - 1] = 0

=> \(\orbr{\begin{cases}\left(x-1\right)^6=0\\\left(x-1\right)^2-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\\left(x-1\right)^2=1\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\\left(x-1\right)^2=\left(\pm1\right)^2\end{cases}}\)

+) x - 1 = 1 => x = 2 ( tm)

+) x - 1 = -1 => x = 0 ( tm)

Vậy x = 1,x = 2,x = 0

b: \(x+1⋮x-2\)

\(\Leftrightarrow x-2+3⋮x-2\)

\(\Leftrightarrow x-2\in\left\{1;-1;3;-3\right\}\)

hay \(x\in\left\{3;1;5;-1\right\}\)

c: \(\Leftrightarrow2x-1\in\left\{12;24;36;48\right\}\)

\(\Leftrightarrow x\in\left\{\dfrac{13}{2};\dfrac{25}{2};\dfrac{37}{2};\dfrac{49}{2}\right\}\)

d: \(\Leftrightarrow n+3+2⋮n+3\)

\(\Leftrightarrow n+3\in\left\{1;-1;2;-2\right\}\)

hay \(n\in\left\{-2;-4;-1;-5\right\}\)

e: \(2n-1⋮3n+6\)

\(\Leftrightarrow6n-3⋮3n+6\)

\(\Leftrightarrow6n+12-15⋮3n+6\)

\(\Leftrightarrow3n+6\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)

hay \(n\in\left\{-\dfrac{5}{3};-\dfrac{7}{3};-1;-3;-\dfrac{1}{3};-\dfrac{11}{3};3;-7\right\}\)

Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu

a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14) 

=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84

=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84) 

=> 156 -  56x = 24x - 324 

=>  24x + 56x = 324 + 156 

=> 80x = 480 

=> x = 480 : 80 =  6 

Vậy x = 6 

b, 5(3x + 5) - 4(2x - 3) = 5x + 3(2x + 12) + 1 

=> 15x + 25 - 8x + 12 = 5x + 6x + 36 + 1 

=> (15x - 8x) + (25 + 12) = 11x + 37 

=> 7x + 37 = 11x + 37 

=> 11x - 7x = 0 

=>  x = 0 

hơi nhiều nhỉ

Sao bạn đăng nhiều thế !

hoa mắt thì làm sao giải cho bạn được

Bài 1:

(2x -1) (3y + 2) = 12b

\(x=\frac{12b+3y+2}{2\left(3y+2\right)}\)

\(y=\frac{2\left(6b-2x+1\right)}{3\left(2x-1\right)}\)

(4x + 1) (2y-3) = -81

\(x=-\frac{y+39}{2\left(2y-3\right)}\)

\(y=\frac{3\left(2x-13\right)}{4x+1}\)