Xet |x-2| = x-2
=> \(x-2-\left(2x+\frac{1}{4}\right)=x-1\)
=> \(x-2-2x-\frac{1}{4}=x-1\)
=> \(-x-\frac{7}{4}=x+1\)
=> \(\frac{3}{4}=2x=>x=\frac{3}{8}\)
Xet | x-2 | = -(x-2) = -x+2
=> \(-x+2-\left(2x+\frac{1}{4}\right)=x-1\)
=> \(-x+2-2x-\frac{1}{4}=x-1\)
=> \(-3x+\frac{7}{4}\)=x-1
=> \(\frac{11}{4}=4x=>x=\frac{11}{16}\)
Bài 1 : Tìm x biết :
a, \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
b, \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
c,\(\left|\frac{7}{5}x+\frac{2}{3}\right|=\left|\frac{4}{3}x-\frac{1}{4}\right|\)
Bài 2 : Tìm x biết :
a, | 2x - 5 | = x +1
b, | 3x - 2 | -1 = x
c, | 3x - 7 | = 2x + 1
d, | 2x-1 | +1 = x
Tìm x biết:
\(\frac{-1}{2}\times\left(3x-1\right)+\frac{3}{4}\left(3-2x\right)=-3\times\left(\frac{x}{2}-1\right)-\left(\frac{4}{5}\right)^{-1}\)
Tìm x và y biết:
d)\(-1\frac{2}{3}-\left(\left|2x\right|+\frac{5}{6}\right)=\)\(-2\)e)\(\left(-\frac{1}{2}+\frac{1}{3}\right):\left|1-2x\right|-1\frac{1}{4}:\left(-\frac{5}{8}\right).\left(-\frac{1}{2}\right)^2=\frac{1}{3}\)
c)\(\left|2x-1\right|+\left|2y+1\right|+\left|2x-y\right|=0\)b)\(\left|2x-1\right|=2x-1\)
a)\(\left|x-3\right|=x+4\)
Tìm x, biết:
a, 2x-10-[3x-14-(4-5x)-2x] = 2
b,\(\left(\frac{1}{4}x-1\right)+\left(\frac{5}{6}x-2\right)-\left(\frac{3}{8}x+1\right)=4,5\)
Tìm x, biết:
a)\(3\left|x+4\right|-\left|2x+1\right|-5\left|x+3\right|+\left|x-9\right|=5\)
b)\(\left|\frac{11}{5}-x\right|+\left|x+\frac{1}{5}\right|+\frac{41}{5}=1,2\)
c)\(2\left|x+\frac{7}{2}\right|+\left|x\right|-\frac{7}{2}=\left|\frac{11}{5}-x\right|\)
Tìm x, biết
2|3+2X|+5>3
\(\frac{3}{4}< \left|x-\frac{5}{4}\right|< 1\)
\(3\left|x+1\right|-2\left|x+2\right|+\left|-x-1\right|=4\)
Tìm x biết :
\(\left|2x-1\right|=\left|2x+3\right|\)
\(\left|x\right|+\left|x+2\right|=0\)
\( \left|x\left(x^2\right)-\frac{5}{4}\right|=x\)
Tìm X: \(\frac{\left(x+1\right)^2-\frac{x}{2}}{4}=\frac{\left(2x-3\right)^2}{3}-\frac{\frac{x+1}{4}-\frac{x\left(3-2x\right)}{3}}{4}\)
Tìm x biết :
a, \(\left|0,5x-2\right|-\left|x+\frac{1}{3}\right|=0\)
b, \(2x-\left|x+1\right|=\frac{1}{2}\)
c, \(\left|2x-1\right|-\left|x+\frac{1}{3}\right|=0\)
d, \(3x-\left|x+15\right|=\frac{5}{4}\)
Tìm x biết
a)\(\left|2x-3\right|-x=\)\(\left|2-x\right|\)
b)\(\left|x+3\right|+\left|x+1\right|=\)\(3x\)
c)\(2005=\left|x-4\right|+\left|x-10\right|+\left|x+101\right|+\left|x+990\right|+\left|x+1000\right|\)
d)\(\left|x+\frac{1}{2}\right|+\left|x+\frac{1}{6}\right|+\left|x+\frac{1}{20}\right|+..+\left|x+\frac{1}{110}\right|=11x\)