a,-4/7=x/21
-12/21 = x/21
x= -12 

b,(x-3)/15=1/-5
x - 3 = -1/5 * 15
x - 3 = -3
x = 0

c,.(3x+8)/-12=-5/30
=> 3x + 8 = 2
=> 3x=-6
=>x=-2

123 - 5 . ( x + 4 ) = 38

5 . ( x + 4 ) = 123 - 38

5 . ( x + 4 ) = 85

x + 4 = 85 : 5

x + 4 = 17

      x = 17 - 4

      x = 13

( 3x - 2⁴ ) . 7³ = 2 . 7⁴

( 3x - 16 ) . 343 = 2 . 2401

( 3x - 16 ) . 343 = 4802

3x - 16 = 4802 : 343

3x - 16 = 14

3x = 14 + 16

3x = 30

  x = 30 : 3

  x = 10

123 - 5( x + 4 ) = 38

=> 5( x + 4 ) = 123 - 38

=> x + 4 = 85 ÷ 5

=> x = 17 - 4 

=> x = 13

(3x - 2⁴ ) · 7³ = 2·7⁴

=> ( 3x - 16 ) = 2 . 7⁴ ÷ 7³

=> 3x - 16 = 14

=> 3x = 16 + 14

=> x = 30 ÷ 3 

=> x = 10

\(\left[8x-120:4\right]\times3^3=3^6.\)

\(8x-120:4=3^3\)

\(8x-30=27\)

\(8x=27+30\)

\(8x=57\)

\(x=19\)

123 - 5.(x + 4) = 38

123 - 5x - 20 = 38

-5x = 38 - 123 + 20

-5x = -65

x = -65 : -5

x = 13

Vậy x = 13

\(123-5\left(x+4\right)=38\)

\(5\left(x+4\right)=123-38\)

\(5\left(x+4\right)=85\)

\(\left(x+4\right)=17\)

\(x=17-4\)

\(x=13\)

\(\left(3x-2^4\right)\times7^3=2\times7^4\)

\(\left(3x-2^4\right)=2\times7^4:7^3\)

\(\left(3x-2^4\right)=2\times7\)

\(3x-2^4=14\)

\(3x-16=14\)

\(3x=30\)

\(x=30:3\)

\(x=10\)

a,219-7(x+1)=100

          7(x+1)=219-100

          7(x+1)=119

             x+1= 119:7

             x+1= 17

                 x= 17-1

                 x=16

Vậy x=16

b,123-5.(x+40)=38

          5.(x+40)=123-38

          5.(x+40)=85

              x+40= 85:5

              x+40=17

                  x= 17-40

                  x=-23

Vậy x=-23

c,(3x-6).3=3⁴   

   3x-6   =3⁴:3

   3x-6   =3³

   3x-6   =27

    3x     =27+6

    3x     =33

    x       =33:3

    x       =11

Vậy x=11

d, 42.x=39.42-37.42

    42.x=1638-1554

    42.x=84

      x   =84:42

      x   =2

Vậy x=2

Nhớ nhé, học giỏi ^^

a) 123 - 5 (x + 4) = 38

5 (x + 4) = 123 - 38

5 (x + 4) = 85

x + 4 = 85 : 5

x + 4 = 17

x = 17 - 4

x = 13

b) (3x - 2⁴) . 7³ = 2 . 7⁴

3x - 2⁴ = 2 . 7⁴ : 7³

3x - 2⁴ = 2 . 7

3x - 16 = 14

3x = 14 + 16

3x = 30

x = 30 : 3

x = 10

c) (x : 3 - 4) . 5 = 15

x : 3 - 4 = 15 : 5

x : 3 - 4 = 3

x : 3 = 3 + 4

x : 3 = 7

x = 7 . 3

x = 21

\(a,123-5.\left(x+4\right)=38\)

\(5.\left(x+4\right)=123-38=85\)

\(x+4=85:5=17\)

\(x=17-4=13\)

a  21-4x=13
  -4x=13-21
-4x=-8
x=-8/-4
x=2
 

b x=5

  chúc bạn học tốt

\(a,3\left(2x-3\right)+2\left(2-x\right)=-3\\ \Leftrightarrow6x-9+4-2x=-3\\ \Leftrightarrow4x=2\\ \Leftrightarrow x=\dfrac{1}{2}\\ b,x\left(5-2x\right)+2x\left(x-1\right)=13\\ \Leftrightarrow5x-2x^2+2x^2-2x=13\\ \Leftrightarrow3x=13\\ \Leftrightarrow x=\dfrac{13}{3}\\ c,5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\\ \Leftrightarrow5x^2-5x-5x^2-3x+14=6\\ \Leftrightarrow-8x=-8\\ \Leftrightarrow x=1\\ d,3x\left(2x+3\right)-\left(2x+5\right)\left(3x-2\right)=8\\ \Leftrightarrow6x^2+9x-6x^2-11x+10=8\\ \Leftrightarrow-2x=-2\\ \Leftrightarrow x=1\)

\(e,2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\\ \Leftrightarrow10x-16-12x+15=12x-16+11\\ \Leftrightarrow-14x=-4\\ \Leftrightarrow x=\dfrac{2}{7}\\ f,2x\left(6x-2x^2\right)+3x^2\left(x-4\right)=8\\ \Leftrightarrow12x^2-4x^3+3x^3-12x^2=8\\ \Leftrightarrow-x^3-8=0\\ \Leftrightarrow-\left(x^3+8\right)=0\\ \Leftrightarrow-\left(x+2\right)\left(x^2-2x+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-2\\x\in\varnothing\left(x^2-2x+4=\left(x-1\right)^2+3>0\right)\end{matrix}\right.\)

Bài 4:

a: Ta có: \(3\left(2x-3\right)-2\left(x-2\right)=-3\)

\(\Leftrightarrow6x-9-2x+4=-3\)

\(\Leftrightarrow4x=2\)

hay \(x=\dfrac{1}{2}\)

b: Ta có: \(x\left(5-2x\right)+2x\left(x-1\right)=13\)

\(\Leftrightarrow5x-2x^2+2x^2-2x=13\)

\(\Leftrightarrow3x=13\)

hay \(x=\dfrac{13}{3}\)

c: Ta có: \(5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\)

\(\Leftrightarrow5x^2-5x-5x^2+7x-10x+14=6\)

\(\Leftrightarrow-8x=-8\)

hay x=1

a/ \(3\left(2x-3\right)+2\left(2-x\right)=-3\)

\(\Leftrightarrow6x-9+4-2x=-3\)

\(\Leftrightarrow4x=2\)

\(\Leftrightarrow x=\dfrac{1}{2}\)

Vậy: \(x=\dfrac{1}{2}\)

===========

b/ \(x\left(5-2x\right)+2x\left(x-1\right)=13\)

\(\Leftrightarrow5x-2x^2+2x^2-2x=13\)

\(\Leftrightarrow3x=13\)

\(\Leftrightarrow x=\dfrac{13}{3}\)

Vậy: \(x=\dfrac{13}{3}\)

==========

c/  \(5x\left(x-1\right)-\left(x+2\right)\left(5x-7\right)=6\)

\(\Leftrightarrow5x^2-5x-5x^2+7x-10x+14=6\)

\(\Leftrightarrow-8x=-8\)

\(\Leftrightarrow x=1\)

Vậy: \(x=1\)

==========

d/ \(3x\left(2x+3\right)-\left(2x+5\right)\left(3x-2\right)=8\)

\(\Leftrightarrow6x^2+9x-6x^2+4x-15x+10=8\)

\(\Leftrightarrow-2x=-2\)

\(\Leftrightarrow x=1\)

Vậy: \(x=1\)

==========

e/ \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)

\(\Leftrightarrow10x-16-12x+15=12x-16+11\)

\(\Leftrightarrow-14x=-4\)

\(\Leftrightarrow x=\dfrac{2}{7}\)

Vậy: \(x=\dfrac{2}{7}\)

==========

f/ \(2x\left(6x-2x^2\right)+3x^2\left(x-4\right)=8\)

\(\Leftrightarrow12x^2-4x^3+3x^3-12x^2=8\)

\(\Leftrightarrow-x^3=8\)

\(\Leftrightarrow x=-2\)

Vậy: \(x=-2\)