\(|x-1|\)+ 5 (x-2) = 5x-4.\(|-2|\)

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15 tháng 8 2018

|x-1|+5(x-2)=5x-4.|-2|

|x-1|+5x-10=5x-4.2=5x-8

|x-1|=5x-5x+10-8

|x-1|=2

x-1=2;-2

x-1=3;-1

k đúng cho mình nha

15 tháng 8 2018

Mi được con mặt chó

13 tháng 7 2017

a) \(-\dfrac{2}{3}\left(x-\dfrac{1}{4}\right)=\dfrac{1}{3}\left(2x-1\right)\)

\(\Rightarrow-\dfrac{2}{3}x+\dfrac{1}{6}=\dfrac{2}{3}x-\dfrac{1}{3}\)

\(\Rightarrow\dfrac{1}{6}+\dfrac{1}{3}=\dfrac{2}{3}x+\dfrac{2}{3}x\)

\(\Rightarrow\dfrac{1}{2}=\dfrac{4}{3}x\)

\(\Rightarrow x=\dfrac{1}{2}:\dfrac{4}{3}=\dfrac{3}{8}\)

Vậy \(x=\dfrac{3}{8}\).

29 tháng 8 2017

Ta có : \(\left(5x-3\right)\left(2x+5\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}5x-3=0\\2x+5=0\end{cases}}\)

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

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

11 tháng 7 2019

a)  \(4^{2x-6}=1\)

\(\Rightarrow4^{2x-6}=4^0\)

\(\Rightarrow2x-6=0\)

\(\Rightarrow2x=6\)

\(\Rightarrow x=3\)

b) \(2^{x-1}=16\)

\(\Rightarrow2^{x-1}=2^4\)

\(\Rightarrow x-1=4\)

\(\Rightarrow x=5\)

c)  \(5< 5x< 125\)

\(\Rightarrow\frac{5}{5}< \frac{5x}{5}< \frac{125}{5}\)

\(\Rightarrow1< x< 25\)

\(\Rightarrow\left\{x\inℤ|1< x< 25\right\}\)

d) mk không hiểu

28 tháng 2 2018

\(a,x+\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+...+\frac{4}{41.45}=--\frac{37}{45}.\)

\(x+\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+...+\frac{1}{41}-\frac{1}{45}=\frac{37}{45}\)

\(x+\frac{1}{5}-\frac{1}{45}=\frac{37}{45}\)

\(x+\frac{1}{5}=\frac{37}{45}+\frac{1}{45}=\frac{38}{45}\)

\(x=\frac{38}{45}-\frac{1}{5}=\frac{29}{45}\)

\(b,\frac{5}{1.6}+\frac{5}{6.11}+...+\frac{5}{\left(5x+1\right)\left(5x+6\right)}=\frac{2015}{2016}\)

\(\Rightarrow1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{5x+1}-\frac{1}{5x+6}=\frac{2015}{2016}\)

\(\Rightarrow1-\frac{1}{5x+6}=\frac{2015}{2016}\)

\(\Rightarrow\frac{1}{5x+6}=1-\frac{2015}{2016}=\frac{1}{2016}\)

\(\Rightarrow5x+6=2016\)

\(\Rightarrow5x=2010\Rightarrow x=402\)

\(c,\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{x\left(x+2\right)}=\frac{2017}{2018}\)

\(\Rightarrow1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+2}=\frac{2017}{2018}\)

\(\Rightarrow1-\frac{1}{x+2}=\frac{2017}{2018}\)

\(\Rightarrow\frac{1}{x+2}=1-\frac{2017}{2018}=\frac{1}{2018}\)

\(\Rightarrow x+2=2018\Rightarrow x=2016\)

học tốt ~~~

14 tháng 10 2017

a) 2x . 4 = 128

2x = 128 : 4

2x = 32

2x = 25

=> x = 5

b) 2x . 24 = 26

=> x + 4 = 6

x = 6 - 4

x = 2

c) 5x + x = 39 - 311 : 39

6x = 39 - 32

6x = 39 - 9

6x = 30

x = 30 : 6

x = 5

d) 9x - 1 = 81

9x - 1 = 92

=> x - 1 = 2

x = 2 + 1

x = 3

e) 6x = 521 : 519 + 3 . 22 - 70

6x = 52 + 3 . 4 - 1

6x = 25 + 12 - 1

6x = 37 - 1

6x = 36

x = 36 : 6

x = 6

19 tháng 2 2017

a) \(\frac{-x}{4}=\frac{-9}{x}\)

\(\Rightarrow x^2\left(-1\right)=-36\)

\(\Rightarrow x^2=6^2\)

\(\Rightarrow x=\pm6\)

Vậy \(x=\left[\begin{matrix}6\\-6\end{matrix}\right.\)

b) \(\frac{12}{x+1}=\frac{5}{30}\)

\(\Rightarrow\left(x+1\right)5=12.30\)

\(\Rightarrow5x+5=360\)

\(\Rightarrow5x=355\)

\(\Rightarrow x=355:5\)

\(\Rightarrow x=71\)

Vậy \(x=71.\)

c) \(\frac{x+42}{5}=\frac{5x+2}{20}\)

\(\Rightarrow\left(x+42\right)20=5\left(5x+2\right)\)

\(\Rightarrow20x+840=25x+10\)

\(\Rightarrow20x-25x=-840+10\)

\(\Rightarrow-5x=-830\)

\(\Rightarrow x=166\)

Vậy \(x=166.\)

19 tháng 2 2017

a, \(\frac{-x}{4}=\frac{-9}{x}\Rightarrow-x.x=-9.4\)

\(\Rightarrow-x.x=-36=-6.6\Rightarrow x=6\)

Vậy x = 6

b, \(\frac{12}{x+1}=\frac{5}{30}=\frac{1}{6}\Rightarrow x+1=12.6\)

\(\Rightarrow x+1=72\Rightarrow x=72-1=71\)

Vậy x = 71

c, \(\frac{x+42}{5}=\frac{5x+2}{20}\Rightarrow20\left(x+42\right)=5\left(5x+2\right)\)

\(\Rightarrow20x+840=25x+10\Rightarrow20x-25x=-840+10\)

\(\Rightarrow\left(20-25\right)x=-830\Rightarrow-5x=-830\)

\(\Rightarrow x=-830\div\left(-5\right)\Rightarrow x=166\)

Vậy x = 166