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1 tháng 11 2024

a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)

    - 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50

       2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51

            7\(x\)            = 67

               \(x\)           =  67 : 7

                \(x\)         =  \(\dfrac{67}{7}\)

Vậy \(x\) = \(\dfrac{67}{7}\) 

1 tháng 11 2024

b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)

    17\(x\) - 48\(x\)  - 111 =  2\(x\) - 4\(x\) + 43

    - 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43

        - \(x\) x (31 + 2 - 4) = 154

        - \(x\) x (33 - 4) =  154

         - \(x\) x 29 = 154

         - \(x\)         = 154 : (-29)

           \(x\)        = - \(\dfrac{154}{29}\)

          Vậy \(x=-\dfrac{154}{29}\) 

18 tháng 1 2019

1)6x-8=3x+1

6x-3x=1+8

3x=9

x=3

Vậy x=3

2: 12-10x=25-30x

=>20x=13

=>x=13/20

3: \(3\left(2x+3\right)-2\left(4x-5\right)=10x+21\)

=>6x+9-8x+10=10x+21

=>10x+21=-2x+19

=>12x=-2

=>x=-1/6

4: \(\Leftrightarrow25x-15-6x+12=11-5x\)

=>19x-3=11-5x

=>24x=14

=>x=7/12

5: \(\Leftrightarrow8-12x-5+10x=4-6x\)

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

=>-4x=-1

=>x=1/4

6: \(\Leftrightarrow32x-24-6+9x=13-40x\)

=>41x-30=13-40x

=>81x=43

=>x=43/81

7: \(\Leftrightarrow10x-5+20x=5x-11\)

=>30x-5=5x-11

=>25x=-6

=>x=-6/25

18 tháng 3 2020

a) \(2\left|x\right|-5=3\)

=> \(2\left|x\right|=3+5\)

=> \(2\left|x\right|=8\)

=> \(\left|x\right|=4\)

=> x = 4 hoặc x = -4

b) \(x-5=\left(-14\right)+2^3\)

=> \(x-5=\left(-14\right)+8\)

=> \(x-5=-6\)

=> \(x=-6+5=-1\)

c) \(10+2x=4^5:4^3\)

=> \(10+2x=4^{5-3}\)

=> \(10+2x=4^2\)

=> \(2x=4^2-10=16-10=6\)

=> \(2x=6\)

=> \(x=3\)

d) (x + 7) - 13 = 4

=> x + 7 = 17

=> x = 17 - 7 = 10

e) \(2x-10=2^4:2^2\)

=> \(2x-10=2^2\)

=> \(2x-10=4\)

=> \(2x=14\)

=> \(x=7\)

14 tháng 1 2019

\(4\left(x-2\right)+10=5-3x\)

\(\Rightarrow4x-8+10=5-3x\)

\(\Rightarrow4x+3x=5-10+8\)

\(\Rightarrow7x=3\)

\(\Rightarrow x=\frac{3}{7}\)

\(4x-8-10=7-x\)

\(\Rightarrow4x+x=7+10+8\)

\(\Rightarrow5x=25\)

\(\Rightarrow x=5\)

\(\left|2x-1\right|=3\)

\(\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}}\)

\(\left|1-2x\right|=5\)

\(\Leftrightarrow\orbr{\begin{cases}1-2x=5\\1-2x=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=3\end{cases}}}\)

\(\left|4+x\right|=10\)

\(\Leftrightarrow\orbr{\begin{cases}4+x=10\\4+x=-10\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-14\end{cases}}}\)

Câu 2: 

a: \(x^{10}=1^x\)

\(\Leftrightarrow x^{10}=1\)

=>x=1 hoặc x=-1

b: \(\left(2x-15\right)^5=\left(2x-15\right)^3\)

\(\Leftrightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)

\(\Leftrightarrow\left(2x-15\right)^3\cdot\left(2x-16\right)\left(2x-14\right)=0\)

hay \(x\in\left\{\dfrac{15}{2};8;7\right\}\)

c: \(x^{10}=x\)

\(\Leftrightarrow x\left(x^9-1\right)=0\)

=>x=0 hoặc x=1

31 tháng 12 2015

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

10+2x=2.(32-1)

 10+2x=2.(9-1)

 10+2x=2.8

 2x=16-10

2x=6

 x=6:2

 x=3

2.x-138=23.32

 2.x-138=72

 2.x=72+138

 2.x=210

 x=210:2

 x=105

[102+(28-2x)]:20-5=1

 (102+28-2x):20=6

 130-2x=120

 2x=130-120

 2x=10

 x=10:2

 x=5

231-(x-6)=1339:13

 231-(x-6)=103

 x-6=231-103

 x-6=128

 x=128+6

 x=134

31 tháng 12 2015

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

VC
26 tháng 8 2021

a) \(3x-10=2x+13\Leftrightarrow x=13+10=23\)

b) \(x+12=-5-x\Leftrightarrow2x=-17\Leftrightarrow x=-\frac{17}{2}\)

c) \(x+5=10-x\Leftrightarrow2x=5\Leftrightarrow x=\frac{5}{2}\)

d) \(6x+23=2x-12\Leftrightarrow4x=-35\Leftrightarrow x=-\frac{35}{4}\)

e) \(12-x=x+1\Leftrightarrow2x=11\Leftrightarrow x=\frac{11}{2}\)

f) \(14+4x=3x+20\Leftrightarrow x=20-14=6\)

VC
26 tháng 8 2021

g) \(2\left(x-1\right)+3\left(x-2\right)=x-4\Leftrightarrow2x-2+3x-6=x-4\)

\(\Leftrightarrow5x-8=x-4\Leftrightarrow4x=4\Leftrightarrow x=1\)

h ) \(3\left(4-x\right)-2\left(x-1\right)=x+20\Leftrightarrow12-3x-2x+2=x+20\)

\(\Leftrightarrow14-5x=x+20\Leftrightarrow6x=-6\Leftrightarrow x=-1\)

i ) \(4\left(2x+7\right)-3\left(3x-2\right)=24\Leftrightarrow8x+28-9x+6=24\)

\(\Leftrightarrow34-x=24\Leftrightarrow x=34-24=10\)

k) \(3\left(x-2\right)+2x=10\Leftrightarrow3x-6+2x=5x-6=10\)

\(\Leftrightarrow5x=10+6=16\Leftrightarrow x=\frac{16}{5}\)

Tự KL cho các phần

a: \(\Leftrightarrow2x-2+4x+8=-12\)

=>6x+6=-12

=>6x=-18

hay x=-3

b: \(\Leftrightarrow-10x-15-12+9x=13\)

=>-x-27=13

=>-x=40

hay x=-40

c: \(\Leftrightarrow-10x+70+20-5x=-15\)

\(\Leftrightarrow-15x=-105\)

hay x=7

d: \(\Leftrightarrow8x-12-7x+14=10\)

=>x+2=10

hay x=8

e: \(\Leftrightarrow-12x-18+14x+2=2\)

=>2x-16=2

hay x=9

2 tháng 6 2017

a) \(\dfrac{2}{3}x-\dfrac{1}{2}=\dfrac{1}{10}\)

\(\dfrac{2}{3}x=\dfrac{1}{10}+\dfrac{1}{2}=\dfrac{3}{5}\)

\(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)

b) \(\dfrac{39}{7}:x=13\)

\(x=\dfrac{\dfrac{39}{7}}{13}=\dfrac{3}{7}\)

c) \(\left(\dfrac{14}{5}x-50\right):\dfrac{2}{3}=51\)

\(\dfrac{14}{5}x-50=51\cdot\dfrac{2}{3}=34\)

\(\dfrac{14}{5}x=34+50=84\)

\(x=\dfrac{84}{\dfrac{14}{5}}=30\)

d) \(\left(x+\dfrac{1}{2}\right)\left(\dfrac{2}{3}-2x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\\dfrac{2}{3}-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)

e) \(\dfrac{2}{3}x-\dfrac{1}{2}x=\dfrac{5}{12}\)

\(\dfrac{1}{6}x=\dfrac{5}{12}\)

\(x=\dfrac{5}{12}:\dfrac{1}{6}=\dfrac{5}{2}\)

g) \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\dfrac{11}{5}-\dfrac{3}{7}=-2\)

\(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\cdot\dfrac{11}{5}=-2+\dfrac{3}{7}=-\dfrac{11}{7}\)

\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}=-\dfrac{11}{7}:\dfrac{11}{5}=-\dfrac{5}{7}\)

\(\dfrac{44}{7}x=-\dfrac{5}{7}-\dfrac{3}{7}=-\dfrac{8}{7}\)

\(x=-\dfrac{8}{7}:\dfrac{44}{7}=-\dfrac{2}{11}\)

h) \(\dfrac{13}{4}x+\left(-\dfrac{7}{6}\right)x-\dfrac{5}{3}=\dfrac{5}{12}\)

\(\dfrac{25}{12}x-\dfrac{5}{3}=\dfrac{5}{12}\)

\(\dfrac{25}{12}x=\dfrac{5}{12}+\dfrac{5}{3}=\dfrac{25}{12}\)

\(x=1\)

Mỏi tay woa bn làm nốt nha!!