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8 tháng 6 2023

\(-3\left(\dfrac{x}{3}-\dfrac{1}{4}\right)-\dfrac{1}{3}\left(3x+\dfrac{1}{2}\right)=7x\\ \Rightarrow-\dfrac{3x}{3}+\dfrac{3}{4}-\dfrac{3x}{3}-\dfrac{1}{6}=7x\\ \Rightarrow-x+\dfrac{3}{4}-x-\dfrac{1}{6}=7x\\ \Rightarrow-x+\dfrac{3}{4}-x-\dfrac{1}{6}-7x=0\\ \Rightarrow\left(-x-x-7x\right)+\left(\dfrac{3}{4}-\dfrac{1}{6}\right)=0\\ \Rightarrow\left[x\left(-1-1-7\right)\right]+\left(\dfrac{3.3}{4.3}-\dfrac{1.2}{6.2}\right)=0\\ \Rightarrow-9x+\left(\dfrac{9}{12}-\dfrac{2}{12}\right)=0\\ \Rightarrow-9x+\dfrac{7}{12}=0\\ \Rightarrow-9x=\dfrac{-7}{12}\\ \Rightarrow x=-\dfrac{7}{12}:\left(-9\right)\\ \Rightarrow x=\dfrac{-7}{12}\cdot\dfrac{-1}{9}\\ \Rightarrow x=\dfrac{7}{108}\)

=>-x+3/4-x-1/6=7x

=>-9x=-3/4+1/6=-7/12

=>x=7/108

1 tháng 9 2023

\(a,3-x=x+1,8\)

\(\Rightarrow-x-x=1,8-3\)

\(\Rightarrow-2x=-1,2\)

\(\Rightarrow x=0,6\)

\(b,2x-5=7x+35\)

\(\Rightarrow2x-7x=35+5\)

\(\Rightarrow-5x=40\)

\(\Rightarrow x=-8\)

\(c,2\left(x+10\right)=3\left(x-6\right)\)

\(\Rightarrow2x+20=3x-18\)

\(\Rightarrow2x-3x=-18-20\)

\(\Rightarrow-x=-38\)

\(\Rightarrow x=38\)

\(d,8\left(x-\dfrac{3}{8}\right)+1=6\left(\dfrac{1}{6}+x\right)+x\)

\(\Rightarrow8x-3+1=1+6x+x\)

\(\Rightarrow8x-3=7x\)

\(\Rightarrow8x-7x=3\)

\(\Rightarrow x=3\)

\(e,\dfrac{2}{9}-3x=\dfrac{4}{3}-x\)

\(\Rightarrow-3x+x=\dfrac{4}{3}-\dfrac{2}{9}\)

\(\Rightarrow-2x=\dfrac{10}{9}\)

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

1 tháng 9 2023

\(g,\dfrac{1}{2}x+\dfrac{5}{6}=\dfrac{3}{4}x-\dfrac{1}{2}\)

\(\Rightarrow\dfrac{1}{2}x-\dfrac{3}{4}x=-\dfrac{1}{2}-\dfrac{5}{6}\)

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

\(\Rightarrow x=\dfrac{16}{3}\)

\(h,x-4=\dfrac{5}{6}\left(6-\dfrac{6}{5}x\right)\)

\(\Rightarrow x-4=5-x\)

\(\Rightarrow x+x=5+4\)

\(\Rightarrow2x=9\)

\(\Rightarrow x=\dfrac{9}{2}\)

\(k,7x^2-11=6x^2-2\)

\(\Rightarrow7x^2-6x^2=-2+11\)

\(\Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)

\(m,5\left(x+3\cdot2^3\right)=10^2\)

\(\Rightarrow5\left(x+24\right)=100\)

\(\Rightarrow x+24=20\)

\(\Rightarrow x=-4\)

\(n,\dfrac{4}{9}-\left(\dfrac{1}{6^2}\right)=\dfrac{2}{3}\left(x-\dfrac{2}{3}\right)^2+\dfrac{5}{12}\)

\(\Rightarrow\dfrac{2}{3}\left(x-\dfrac{2}{3}\right)^2+\dfrac{5}{12}=\dfrac{4}{9}-\dfrac{1}{36}\)

\(\Rightarrow\dfrac{2}{3}\left(x-\dfrac{2}{3}\right)^2+\dfrac{5}{12}=\dfrac{5}{12}\)

\(\Rightarrow\dfrac{2}{3}\left(x-\dfrac{2}{3}\right)^2=0\)

\(\Rightarrow x-\dfrac{2}{3}=0\Rightarrow x=\dfrac{2}{3}\)

#\(Urushi\text{☕}\)

10 tháng 9 2017

a/ \(\dfrac{1}{3}-\dfrac{2}{5}+3x=\dfrac{3}{4}\)

\(\Leftrightarrow\dfrac{-1}{15}+3x=\dfrac{3}{4}\)

\(\Leftrightarrow3x=\dfrac{49}{60}\)

\(\Leftrightarrow x=\dfrac{49}{180}\)

Vậy....

b/ \(\dfrac{3}{2}-1+4x=\dfrac{2}{3}-7x\)

\(\Leftrightarrow\dfrac{1}{2}+4x=\dfrac{2}{3}-7x\)

\(\Leftrightarrow4x+7x=\dfrac{2}{3}-\dfrac{1}{2}\)

\(\Leftrightarrow11x=\dfrac{1}{6}\)

\(\Leftrightarrow x=\dfrac{1}{66}\)

Vậy....

c/ \(2\left(\dfrac{3}{4}-5x\right)=\dfrac{4}{5}-3x\)

\(\Leftrightarrow\dfrac{3}{2}-10x=\dfrac{4}{5}-3x\)

\(\Leftrightarrow-10x+3x=\dfrac{4}{5}-\dfrac{3}{2}\)

\(\Leftrightarrow-7x=-\dfrac{7}{10}\)

\(\Leftrightarrow x=-\dfrac{1}{10}\)

Vậy .....

10 tháng 9 2017

d/ \(4\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{3}{10}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow2-4x-5x-\dfrac{3}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow2+\left(-4x\right)+\left(-5x\right)+\left(\dfrac{-3}{2}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow-9x+\dfrac{1}{2}=\dfrac{7}{4}\)

\(\Leftrightarrow-9x=\dfrac{5}{4}\)

\(\Leftrightarrow x=-\dfrac{5}{36}\)

4 tháng 7 2018

a)A=\(x^5-\dfrac{1}{2}x+7x^3-2x+\dfrac{1}{5}x^3+3x^4-x^5+\dfrac{2}{5}x^4+15\)

=\(=\dfrac{-5}{2}x+\dfrac{36}{5}x^3+\dfrac{17}{5}x^4+15\)

b)B=\(3x^2-10+\dfrac{2}{5}x^3+7x-x^2+8+7x^2\)

\(=9x^2+\dfrac{2}{5}x^3+7x+2\)

c)C=\(\dfrac{1}{7}x-2x^4+5x+6\)

4 tháng 7 2018

c)C=\(\dfrac{36}{7}x-2x^4+6\)

\(=-\dfrac{7}{2}x+1+\dfrac{5}{4}x-3-\dfrac{1}{2}x\left(2x^2+x-2x-1\right)\)

\(=\dfrac{-9}{4}x-2-x^3-\dfrac{1}{2}x^2+x^2+\dfrac{1}{2}x\)

\(=-x^3+\dfrac{1}{2}x^2-\dfrac{7}{4}x-2\)

30 tháng 8 2019

1) -2/3

1: \(\Leftrightarrow3x+4=2\)

=>3x=-2

=>x=-2/3

2: \(\Leftrightarrow7x-7=6x-30\)

=>x=-23

3: =>\(5x-5=3x+9\)

=>2x=14

=>x=7

4: =>9x+15=14x+7

=>-5x=-8

=>x=8/5

18 tháng 7 2023

giúp mình giải bài toán trên với. Mình cảm ơn rất nhiều

a: =>1/2x-3/4x=-5/6+7/3

=>-1/4x=14/6-5/6=3/2

=>x=-3/2*4=-6

b: =>4/5x-3/2x=1/2+6/5

=>-7/10x=17/10

=>x=-17/7

c: =>6/5x+6/20=6/5-1/3x

=>6/5x+1/3x=6/5-3/10=12/10-3/10=9/10

=>x=27/46

d: =>6x+3/2+4/5=1/2-2x

=>8x=1/2-3/2-4/5=-1-4/5=-9/5

=>x=-9/40

4 tháng 10 2023

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29 tháng 6 2021

`e)3/(3x)-3/12=4/5-(7/x-2)`

`<=>1/x-1/4=4/5-7/x+2`

`<=>8/x=1/4+4/5+2=61/20`

`<=>1/x=61/160`

`<=>x=160/61`

`f)1/(x-1)+(-2)/3(3/4-6/5)=5/(2-2x)`

`<=>1/(x-1)+5/(2x-2)=2/3(3/4-6/5)=-3/10`

`<=>7/(2x-1)=-3/10`

`<=>2x-1=-70/3`

`<=>2x=-67/3`

`<=>x=-67/6`

29 tháng 6 2021

ui chào cậu nhá