tim x biet: |x-3|+|5-x|+2|x-4|=2 AI GIAI GIUP MINH VOI
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2.x - 12.x = 0
=> 2 - 12 . x = 0
=> - 10.x = 0
=> x = 0 : ( - 10 )
=> x = 0
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\(\frac{5}{3}-\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{7}{6}\)
=> \(\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{5}{3}-\frac{7}{6}\)
=> \(\frac{1}{3}:\left(1-x\cdot\frac{1}{3}\right)=\frac{1}{2}\)
=> \(\left(1-x\cdot\frac{1}{3}\right)=\frac{1}{3}:\frac{1}{2}=\frac{1}{3}\cdot2=\frac{2}{3}\)
=> \(1-\frac{x}{3}=\frac{2}{3}\)
=> \(\frac{x}{3}=1-\frac{2}{3}=\frac{1}{3}\)
=> x = 1
\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)-\frac{1}{4}=\frac{1}{2}\)
=> \(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{1}{2}+\frac{1}{4}=\frac{3}{4}\)
=> \(x:\frac{1}{2}+\frac{3}{2}=3-\frac{3}{4}=\frac{9}{4}\)
=> \(x:\frac{1}{2}=\frac{9}{4}-\frac{3}{2}\)
=> \(x:\frac{1}{2}=\frac{3}{4}\)
=> \(x=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{8}\)
\(\frac{5}{3}-\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{7}{6}\)
\(\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{5}{3}-\frac{7}{6}\)
\(\frac{1}{3}:\left(1-x\times\frac{1}{3}\right)=\frac{1}{2}\)
\(1-x\times\frac{1}{3}=\frac{1}{3}:\frac{1}{2}\)
\(1-x\times\frac{1}{3}=\frac{2}{3}\)
\(x\times\frac{1}{3}=1-\frac{2}{3}\)
\(x\times\frac{1}{3}=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{1}{3}\)
\(x=1\)
\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)-\frac{1}{4}=\frac{1}{2}\)
\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{1}{2}+\frac{1}{4}\)
\(3-\left(x:\frac{1}{2}+\frac{3}{2}\right)=\frac{3}{4}\)
\(x:\frac{1}{2}+\frac{3}{2}=3-\frac{3}{4}\)
\(x:\frac{1}{2}+\frac{3}{2}=\frac{9}{4}\)
\(x:\frac{1}{2}=\frac{9}{4}-\frac{3}{2}\)
\(x:\frac{1}{2}=\frac{3}{4}\)
\(x=\frac{3}{4}\times\frac{1}{2}\)
\(x=\frac{3}{8}\)
a) \(|x|+x=\frac{1}{3}\)
\(|x|=\frac{1}{3}-x\)
Ta có: \(|x|\ge0\)
\(\Rightarrow\frac{1}{3}-x\ge0\)
\(\Rightarrow x\ge\frac{1}{3}>0\)
\(\Rightarrow|x|=x\)
\(\Rightarrow x+x=\frac{1}{3}\)
\(\Rightarrow2x=\frac{1}{3}\)
\(\Rightarrow x=\frac{1}{6}\)
Vậy \(x=\frac{1}{6}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -2
=> -11x + (-39) = -2
=> -11x = -2 - (-39)
=> -11x = 37
=> x = \(\frac{-37}{11}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -6
=> -11x - 39 = -6
=> -11x = -6+39
=> -11x = 33
=> x = 33:(-11)
=> x = -3