a) (2x - 7) + 16= -21

=> 2x - 7 = -21 - 16 = (-21) + (-16)

=> 2x - 7 = -37

=> 2x = -37 + 7 = -30

=> x = -30 : 2 = -15

b) 72 - 3 (5 - x) = 108

=> 3. (5 - x) = 72 - 108 = -36

=> 5 - x = -36 : 3 = -12

=> x = 5 - (-12) = 5 + 12

=> x = 17

d) (x + 1) + (x + 2) + (x + 3) +.....+ (x + 50) = 1625

=> x + 1 + x + 2 + x + 3 +....+x + 50 = 1625

=> (x + x + x + .... + x) + (1 + 2 + 3 + .... + 50) = 1625

Từ 1 → 50 có: (50 - 1) + 1 = 50 (số hạng)

=> Có 50 x

Ta có: (x + x + x + .... + x) + (1 + 2 + 3 + .... + 50) = 1625

=> 50. x + (1 + 2 + 3 + .... + 50) = 1625

Tổng các số từ 1 → 50: (50 + 1). 50 = 2550

=> 50. x + 2550 = 1625

=> 50. x = 1625 - 2550 = -925

=> x = (-925) : 50 = \(-\frac{37}{2}\)

P/s: Ko chắc!

\(\text{a) }\left(2x-7\right)+16=-21\)

\(\Leftrightarrow2x-7+16=-21\)

\(\Leftrightarrow2x=-30\)

\(\Rightarrow x=-15\)

\(\text{b) }72-3\left(5-x\right)=108\)

\(\Leftrightarrow3\left(5-x\right)=-36\)

\(\Leftrightarrow5-x=-12\)

\(\Rightarrow x=17\)

\(\text{d) }\left(x+1\right)+\left(x+2\right)+...+\left(x+50\right)=1625\)

\(\Leftrightarrow50x+1275=1625\)

\(\Rightarrow x=7\)

(x-14)-20=5

=> x-14 = 25

=> x = 39

Các dạng toán như này lớp 6 ai cũng làm được cả * lười vừa thôi*

( x - 14 ) - 20 = 5

 x - 14 = 5 + 20

 x - 14 = 25

 x = 25 + 14

 x = 39

128 + ( 202 - x ) = 330

           [ 202 - x ] = 330 - 128

             202 - x = 202

                      x = 202 - 202

                      x = 0

( x - 120 ) x 9 = 450

[ x - 120 ] = 450 : 9

 x - 120 = 50

 x = 50 + 120

 x = 170

x - 320 : 32 = 25 x 16

x - 320 : 32 = 400

x - 320 = 400 x 32

x - 320 = 12800

x = 12800 + 320

x = 13120

25 - ( 2x +10 ) = 5

        [ 2x + 10] = 25 - 5

          2x + 10 = 20

          2x = 20 - 10

          2x = 10

            x = 10 : 2

            x = 5

315 - ( 135 - x ) = 215

          [ 135 - x ] = 315 - 215

          [ 135 - x ] = 100

                      x = 135 - 100

                      x = 35

x : 2 + 21 : 3 = 37

x : 2 + 21 = 37 x 3

x : 2 + 21 = 111

x : 2 = 111 - 21

x : 2 = 90

x = 90 x 2

x = 180

4 x ( x + 100 ) = 800

      [ x + 100 ] = 800 : 4

      [ x + 100 ] = 200

       x = 200 - 100

       x = 100

504 : ( 16 - 5x ) = 72

          [ 16 - 5x ] = 504 : 72

           [ 16 - 5x ] = 7

                     5x = 16 - 7

                     5x = 9

                       x = \(\dfrac{9}{5}\)

( x - 5 ) : 7 + 3 = 20

[ x - 5 ] : 7 = 20 - 3

[ x - 5 ] : 7 = 17

[ x - 5 ] = 17 x 7

 x - 5 = 119

 x = 119 + 5

 x = 124

a: Bạn ghi lại đề nha bạn

b: \(30\left(x+2\right)-6\left(x-5\right)-24x=100\)

=>\(30x+60-6x+30-24x=100\)

=>\(\left(30x-6x-24x\right)+\left(60+30\right)=100\)

=>0x=100-90=10(vô lý)

c: \(\left(x-7\right)\left(x+3\right)< 0\)

TH1: \(\left\{{}\begin{matrix}x-7>0\\x+3< 0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x>7\\x< -3\end{matrix}\right.\)

=>\(x\in\varnothing\)

TH2: \(\left\{{}\begin{matrix}x-7< 0\\x+3>0\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x< 7\\x>-3\end{matrix}\right.\)

=>-3<x<7

mà x nguyên

nên \(x\in\left\{-2;-1;0;1;2;3;4;5;6\right\}\)

d: -1<2x-1<4

=>\(-1+1< 2x< 4+1\)

=>0<2x<5

=>0<x<2,5

mà x nguyên

nên \(x\in\left\{1;2\right\}\)

a: =>5-x=-23

=>x=5+23=28

b: =>x-3-x+7-25+x=54

=>x-21=54

=>x=75

c: =>7-9x-2x+4=-5x-35+27-25=-5x-37

=>-11x+3=-5x-37

=>-6x=-40

=>x=20/3

a) \(10-x-5=\left(-5\right)-7-11\)

\(\Rightarrow5-x=-23\)

\(\Rightarrow x=5+23\)

\(\Rightarrow x=28\)

b) \(\left(x-3\right)-\left(x+17-24\right)-\left(25-x\right)=24-\left(-30\right)\)

\(\Rightarrow x-3-x-17+24-25+x=54\)

\(\Rightarrow x-21=54\)

\(\Rightarrow x=54+21\)

\(\Rightarrow x=75\)

c) \(\left(7-9x\right)-\left(2x-4\right)=-\left(5x+35\right)-\left(-27\right)-25\)

\(\Rightarrow7-9x-2x+4=-5x-35+27-25\)

\(\Rightarrow11-11x=-5x-33\)

\(\Rightarrow-11x+5x=-33-11\)

\(\Rightarrow-6x=-22\)

\(\Rightarrow x=\dfrac{22}{6}=\dfrac{11}{3}\)

a. 
10-x-5 = (-5) - 7 -11
=>5-x = 0
=>x=5
b
(x-3) - (x+17-24) - (25-x) = 24 - (-30)
=>x - 3 - x - 17 + 24 - 25 - x = 24 + 30
=>-x - 21 = 54
=>-x = 75
=>x = -75
c
(7 - 9x) - (2x - 4) = - (5x + 35) - (-27) - 25
=>7-9x - 2x + 4 = -5x - 35 + 27 - 35
=>11 - 11x + 5x = -43
=>16x = 11 + 43
=>16x = 54
=>x=4

2:

=>x^3-1-2x^3-4x^6+4x^6+4x=6

=>-x^3+4x-7=0

=>x=-2,59

4: =>8x-24x^2+2-6x+24x^2-60x-4x+10=-50

=>-62x+12=-50

=>x=1

1: =>x^2+4x-21=0

=>(x+7)(x-3)=0

=>x=3 hoặc x=-7

2: =>(2x-5-4)(2x-5+4)=0

=>(2x-9)(2x-1)=0

=>x=9/2 hoặc x=1/2

3: =>x^3-9x^2+27x-27-x^3+27+9(x^2+2x+1)=15

=>-9x^2+27x+9x^2+18x+9=15

=>18x=15-9-27=-21

=>x=-7/6

6: =>4x^2+4x+1-4x^2-16x-16=9

=>-12x-15=9

=>-12x=24

=>x=-2

7: =>x^2+6x+9-x^2-4x+32=1

=>2x+41=1

=>2x=-40

=>x=-20

a: 2x-261=-21

=>\(2x=-21+261=240\)

=>\(x=\dfrac{240}{2}=120\)

b: \(15\cdot\left(-2\right)-x=45\)

=>-30-x=45

=>x=-30-45=-75

c: \(-18+\left(7-x\right)^2=-2\)

=>\(\left(x-7\right)^2-18=-2\)

=>\(\left(x-7\right)^2=-2+18=16\)

=>\(\left[{}\begin{matrix}x-7=4\\x-7=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=11\\x=3\end{matrix}\right.\)

d: \(2x-1⋮x+1\)

=>\(2x+2-3⋮x+1\)

=>\(-3⋮x+1\)

=>\(x+1\inƯ\left(-3\right)\)

=>\(x+1\in\left\{1;-1;3;-3\right\}\)

=>\(x\in\left\{0;-2;2;-4\right\}\)