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4 tháng 12 2023

(-7).\(x\) = -37 + 79

-7\(x\)    = 42

   \(x\)     = 42: (-7)

  \(x\)     = -6

4 tháng 12 2023

(-7)x = 42

     x = 42 : (-7)

     x = -6

19 tháng 1 2017

Bài 1:

a) \(24 - (-15) - 2\)

\(=39-2\)

\(=37\)

b) \((-85) + 10 - (-85) - 50\)

\(=[(-85)-(-85)]+10-50\)

\(=0+10-50\)

\(=10-50\)

\(=-40\)

c) \(71 - (-30) - (+18) + (-30)\)

\(=[(-30)-(-30)]+71-(+18)\)

\(=0+71-18\)

\(=71-18\)

\(=53\)

d) \(-(30) - (+37) + (+37) + (-85)\)

\(=[-(+37)+(+37)]-(30)+(-85)\)

\(=0-(30)+(-85)\)

\(=(-30)+(-85)\)

\(=-115\)

e) \((35-815) - (795-65)\)

\(=(-780)-730\)

\(=-1510\)

g) \((2002-79+15) + (-79+15)\)

\(=1938+(-64)\)

\(=1874\)

19 tháng 1 2017

Bài 2:

a) \(25 - (30+x) = x - (27-8)\)

\(25-30-x=x-27+8\)

\(x+x=25-30+27-8\)

\(2x=14\)

\(x=14\div2\)

\(x=7\)

b) \((x-12) - 15 = (20-17) - (18+x) \)

\(x-12-15=13-18-x\)

\(x-27=-5-x\)

\(x+x=-5+27\)

\(2x=22\)

\(x=22\div2\)

\(x=11\)

c) \(15 - x = 7 - (-2)\)

\(15-x=9\)

\(x=15-9\)

\(x=6\)

d) \(x - 35 = (-12) - 3\)

\(x-35=-15\)

\(x=-15+35\)

\(x=20\)

e) \(\left|5-x\right|-26=-15\)

\(\left|5-x\right|=-15+26\)

\(\left|5-x\right|=11\)

Từ đây ta có:

*Nếu \(5-x=11\)

\(x=5-11\)

\(x=-6\)

*Nếu \(5-x=-11\)

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

\(x=16\)

Vậy \(x=-6;x=16\)

Bài 2:

a: Ta có: \(2x+79=x+45\)

nên 2x-x=45-79

hay x=-24

b: Ta có: \(15-\left(x+7\right)=\left(x-8\right)+22\)

\(\Leftrightarrow8-x-x-14=0\)

\(\Leftrightarrow2x=22\)

hay x=11

\(125-\left(-75\right)+32-\left(48+32\right)\)

\(=125-\left(-75\right)+32-80\)

\(=125+75+32-80\)

\(=200+32-80\)

\(=232-80\)

\(=152\)

\(-63+415-37-115\)

\(=352-57-115\)

\(=315-115\)

\(=200\)

\(13.\left(-2\right)^2+37.4+4.\left(-150\right)\)

\(=13.2^2+37.4+4.-150\)

\(=13.4+37.4+4.-150\)

\(=4.\left(13+37+-150\right)\)

\(=4.-100\)

\(=-400\)

\(-15.x+4=79\)

\(\Leftrightarrow-15.x=79-4\)

\(\Leftrightarrow-15.x=75\)

\(\Leftrightarrow x=75:-15\)

\(\Leftrightarrow x=-5\)

Vậy \(x=-5\)

\(15-\left(2+x\right)=23\)

\(\Leftrightarrow2+x=15-23\)

\(\Leftrightarrow2+x=-8\)

\(\Leftrightarrow x=-8-2\)

\(\Leftrightarrow x=-10\)
Vậy \(x=-10\)

\(\left(x+2\right)\left(x^2-1\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(x^2-1^2\right)=0\)

\(\Leftrightarrow\left(x+2\right)\left(x+1\right)\left(x-1\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x-1\right)=0\)

\(\Leftrightarrow x=\pm1\)

Vậy \(x\in\left\{\pm1\right\}\)

\(56:\left|x-4\right|=7\)

\(\Leftrightarrow\left|x-4\right|=56:7\)

\(\Leftrightarrow\left|x-4\right|=8\)

\(\Leftrightarrow\orbr{\begin{cases}x-4=8\\x-4=-8\end{cases}\Leftrightarrow\orbr{\begin{cases}x=8+4\\x=-8+4\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=12\\x=-4\end{cases}}}\)

Vậy \(x\in\left\{12;-4\right\}\)

d) Ta có: \(32\%-0.25:x=-\dfrac{17}{5}\)

\(\Leftrightarrow0.25:x=\dfrac{8}{25}+\dfrac{17}{5}=\dfrac{93}{25}\)

hay \(x=\dfrac{25}{372}\)

Vậy: \(x=\dfrac{25}{372}\)

e) Ta có: \(\left(x+\dfrac{1}{5}\right)^2+\dfrac{17}{25}=\dfrac{26}{25}\)

\(\Leftrightarrow\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=-\dfrac{3}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)

Vậy: \(x\in\left\{\dfrac{2}{5};-\dfrac{4}{5}\right\}\)

f) Ta có: \(-\dfrac{32}{27}-\left(3x-\dfrac{7}{9}\right)^3=-\dfrac{24}{27}\)

\(\Leftrightarrow\left(3x-\dfrac{7}{9}\right)^3=\dfrac{-8}{27}\)

\(\Leftrightarrow3x-\dfrac{7}{9}=-\dfrac{2}{3}\)

\(\Leftrightarrow3x=\dfrac{1}{9}\)

hay \(x=\dfrac{1}{27}\)

g) Ta có: \(60\%\cdot x+0.4x+x:3=2\)

\(\Leftrightarrow\dfrac{4}{3}x=2\)

hay \(x=\dfrac{3}{2}\)

Vậy: \(x=\dfrac{3}{2}\)

h) PT \(\Leftrightarrow\left|\dfrac{20}{9}-x\right|=\dfrac{2}{9}\) \(\Rightarrow\left[{}\begin{matrix}\dfrac{20}{9}-x=\dfrac{2}{9}\\x-\dfrac{20}{9}=\dfrac{2}{9}\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{22}{9}\end{matrix}\right.\)

  Vậy ...

i) PT \(\Leftrightarrow\dfrac{8}{5}+\dfrac{2}{5}x=\dfrac{16}{5}\) \(\Leftrightarrow\dfrac{2}{5}x=\dfrac{8}{5}\) \(\Leftrightarrow x=4\)

  Vậy ...

 

 1) 9-25=(7-x)-(25+7)

(7-x)-(25+7)=9-25

(7-x)-(25+7)=-16

(7-x)-32=-16

7-x=-16+32

7-x=16

x=7-16

x=-9

2) (27-514) -(486-73)+x=7

 (27-514) -(486-73)+x=7

-487-413+x=7

-1011+x=7

x=7-(-1011)

x=7+1011

x=1018

3) 25+5+37-25+6-29-x=37

 25+5+37-25+6-29-x=37

67-25+6-29-x=37

42+6-29-x=37

48-29-x=37

19-x=37

x=19-37

x=-18

4) 14+(-12)+x =10-/-15/+ /-3/

14+(-12)+x =10-15+3

14+(-12)+x =-5+3

14+(-12)+x =-2

2+x=-2

x=-2-2

x=-4

 

15 tháng 1 2016

1) - 9

2) 1018 

3) -18 

4) -4

tick nha

21 tháng 11 2023

\(-(35-x)-(37-x)=33\\\Rightarrow-35+x-37+x=33\\\Rightarrow(-35-37)+(x+x)=33\\\Rightarrow-72+2x=33\\\Rightarrow2x=33+72\\\Rightarrow2x=105\\\Rightarrow x=105:2\\\Rightarrow x=52,5\\---\)

\((-14)+x-7=(-10)\\\Rightarrow x-7=(-10)+14\\\Rightarrow x-7=4\\\Rightarrow x=4+7\\\Rightarrow x=11\)

21 tháng 11 2023

-(35  - \(x\)) - (37 - \(x\)) = 33

- 35 + \(x\)  - 37 + \(x\)  = 33

  (\(x\) + \(x\)) - (35 + 37) = 33

    2\(x\) - 72  = 33

    2\(x\)          = 33 + 72

    2\(x\)         = 105

      \(x\)        = \(\dfrac{105}{2}\)

 

21 tháng 11 2023

(-14) + \(x\) - 7 = (-10)

 -14 + \(x\)  - 7 = -10

 \(x\) - (14 + 7)  = -10

  \(x\) - 21          = -10

  \(x\)                 = -10 + 21

  \(x\)                 = 11