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a)\(-\frac{2}{5}+\frac{2}{3}x+\frac{1}{6}x=-\frac{4}{5}\Leftrightarrow\frac{5}{6}x=-\frac{2}{5}\Leftrightarrow x=-\frac{12}{25}\)
Vậy nghiệm là x = -12/25
b)\(\frac{3}{2}x-\frac{2}{5}-\frac{2}{3}x=-\frac{4}{15}\Leftrightarrow\frac{5}{6}x=\frac{2}{15}\Leftrightarrow x=\frac{4}{25}\)
Vậy nghiệm là x = 4/25
c)\(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)\(\Leftrightarrow\left(x+1\right)\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}-\frac{1}{14}\right)=0\)
\(\Leftrightarrow x+1=0\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}-\frac{1}{14}\ne0\right)\)\(\Leftrightarrow x=-1\)
Vậy nghiệm là x = -1

a, \(\frac{3}{4}-x=\frac{1}{2}\Leftrightarrow x=\frac{3}{4}-\frac{1}{2}=\frac{1}{4}\)Vậy \(x=\frac{1}{4}\)
b, \(\left|x+\frac{2}{3}\right|=\frac{5}{6}\)
TH1 : \(x+\frac{2}{3}=\frac{5}{6}\Leftrightarrow x=\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\)
TH2 : \(x+\frac{2}{3}=-\frac{5}{6}\Leftrightarrow x=-\frac{5}{6}-\frac{2}{3}=\frac{-9}{6}=\frac{-3}{2}\)
Vậy \(x=\left\{\frac{1}{6};-\frac{3}{2}\right\}\)
a,\(\frac{3}{4}-x=\frac{1}{2}\)
\(\Leftrightarrow x=\frac{3}{4}-\frac{1}{2}\)
\(\Leftrightarrow x=\frac{1}{4}\)
b,\(\left|x+\frac{2}{3}\right|=\frac{5}{6}\)
\(\Leftrightarrow x+\frac{2}{3}=\pm\frac{5}{6}\)
TH1:\(x+\frac{2}{3}=\frac{5}{6}\)
\(\Leftrightarrow x=\frac{5}{6}-\frac{2}{3}\)
\(\Leftrightarrow x=\frac{1}{6}\)
TH2:\(x+\frac{2}{3}=-\frac{5}{6}\)
\(\Leftrightarrow x=-\frac{5}{6}-\frac{2}{3}\)
\(\Leftrightarrow x=-\frac{3}{2}\)

\(\frac{x}{-3}=\frac{-27}{x}\)
\(\Rightarrow x.x=-27.\left(-3\right)\)
\(\Rightarrow x.x=81\)
\(\Rightarrow x^2=81\)
\(\Leftrightarrow\hept{\begin{cases}x=-9\\x=9\end{cases}}\)
\(\frac{x}{-3}\)=\(\frac{-27}{x}\)
\(\Rightarrow x^2=-27.-3\)
\(\Rightarrow x^2=81\)
\(\Rightarrow x=9\)và x =-9

Ta có 2 TH:
+ Th1: \(x-2=x\)
=>\(x-x=2\)
=>\(0=2\)( Vô lý, loại)
+ Th2: \(x-2=-x\)
=>\(x+x=2\)
=>\(2x=2\)
=>\(x=1\)
Vậy x=1
\(|x-2|=x\)
\(\Rightarrow TH1:x-2=x\)
\(x-x=2\)
\(0=2\)
\(\Rightarrow x\in\varnothing\)
\(TH2:x-2=-x\)
\(x+x=2\)
\(2x=2\)
\(\Rightarrow x=1\)
Vậy \(x\in\left\{\varnothing;1\right\}\)

Áp dụng tính chất của dãy tỉ số bằng nhau vao A ,ta dc :
A = (2011a - 2010b + 2011b - 2010c + 2011c - 2010d + 2011d - 2010a) / (c + d + a + d + a + b + b + c)
A = (a + b + c + d) / (2a + 2b + 2c + 2d)
Ta có
a/2b = b/2c = c/2d = d/2a = (a + b + c + d) / (2a + 2b + 2c + 2d)
Vay : A = a/2b = b/2c = c/2d = d/2a

Ta có:
\(\frac{x}{2}-\frac{3}{y}=\frac{5}{4}\)
hay \(\frac{2x}{4}-\frac{3}{y}=\frac{5}{4}\)
Suy ra \(\frac{3}{y}=\frac{2x-5}{4}\)
\(\Rightarrow3\cdot4=\left(2x-5\right)y\)
hay \(\left(2x-5\right)y=12\)
Đến đây bạn tự lập bảng giá trị nhé!
\(\left(\frac23x-3\right):\left(-10\right)=\frac25\)
\(\frac23x-3=\frac25\cdot\left(-10\right)\)
\(\frac23x-3=\frac{2\cdot\left(-10\right)}{5}\)
\(\frac23x-3=-\frac{20}{5}=-4\)
\(\frac23x=-4+3\)
\(\frac23x=1\)
\(x=1:\frac23\)
\(x=1\cdot\frac32\)
\(x=\frac32\)
Vậy \(x=\frac32\)
\(\left(\frac23x-3\right):\left(-10\right)=\frac25\)
\(\frac23x-3=-4\)
\(\frac23x=-1\)
\(x=-\frac32=-1,5\)
Vậy \(x=-1,5\)