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\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow x\left(\frac{1}{2}-\frac{2}{3}\right)=\frac{7}{12}\Rightarrow x\cdot\left(\frac{3}{6}-\frac{4}{6}\right)=\frac{7}{12}\)
\(\Rightarrow x\cdot\left(-1\right)=\frac{7}{12}\Rightarrow x=\frac{7}{12}:\left(-1\right)=\frac{7}{-12}\)
\(c,\frac{\left(x-5\right)}{12}\cdot\frac{9}{29}=\frac{-6}{29}\Rightarrow\frac{\left(x-5\right)}{12}=\frac{-6}{29}:\frac{9}{26}\)
\(\frac{\Rightarrow\left(x-5\right)}{12}=\frac{-6}{9}=\frac{-2}{3}\Rightarrow x-5=-\frac{2}{3}\cdot12\)
\(\Rightarrow x-5=\frac{-24}{3}=-8\Rightarrow x=-8+5=-3\)
\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)
\(\Rightarrow-\frac{1}{6}x=\frac{7}{12}\)
\(\Rightarrow x=-\frac{7}{2}\)
\(c,\frac{x-5}{12}\cdot\frac{9}{29}=-\frac{6}{29}\)
\(\Rightarrow\frac{x-5}{12}=-\frac{2}{3}\)
\(\Rightarrow x-5=12.\left(-\frac{2}{3}\right)\)
\(\Rightarrow x-5=-8\)
\(\Rightarrow x=-3\)
a) x = 4
b) x = -8
c) | x | - 9 = -2 + 17
| x | = 15 + 9
| x | = 24
x = 24 hoặc x = -24
d) |x – 9| = -2 + 17
|x – 9| = 15
x – 9 = 15 hoặc x – 9 = -15
x = 24 hoặc x = -6
\(a,3x-75=45+3.\left(-25\right)\)
\(3x-75=-30\)
\(3x=45\)
\(x=15\)
\(b,2.\left(-7\right)-11=6x+17\)
\(-14-11-17=6x\)
\(-42=6x\)
\(-7=x\Leftrightarrow x=-7\)
\(d,-4.|x-3|=-48\)
\(|x-3|=12\)
\(\Rightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}\Rightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}}\)
a, x+5=-2+11
=> x + 5 = 9
=> x = 4
b, -3x=-5+29
=> -3x = 24
=> x = -8
c,|x-9|=-2+17
=> |x-9| = 15
=> x - 9 = 15 hoặc x - 9 = -15
=> x = 24 hoặc x = -6
d, |x|-9=-2+17
=> |x| - 9 = 15
=> |x| = 24
=> x = 24 hoặc x = -24
e,|x+19|+|x+5|+|x+2011|=4x
|x + 19| > 0 ; |X + 5| > 0 ; |x + 2011| > 0
=> |x + 19| + |X + 5| + | x + 2011| > 0
=> 4x > 0
=> x > 0
=> x + 19 + x + 5 + x + 2011 = 4x
=> 3x + 2035 = 4x
=> x = 2035
b) | -5 | . (-7) + 4 . (-9)
= 5 . (-7) + (-36)
= -35 + (-36) = -71
3x = 29 + 17
3x = 46
x = 46:3
x = 46/3