`5, x + 1/3 = 2/5 -(-1/3)`
`=> x + 1/3 = 2/5 + 1/3`
`=> x + 1/3 = 11/15`
`=> x = 11/15 - 1/3`
`=> x = = 2/5`
`6, 3/7 - x = 1/4-(-3/5)`
`=> 3/7 - x = 1/4 + 3/5`
`=> 3/7 - x = 17/20`
`=> x = 3/7 - 17/20`
`=> x = -59/140`
`7, x * (-3/7) = 5/21`
`=> x = 5/21 : (-3/7)`
`=> x = -5/9`
`8, 1 5/9 *x = 28/9`
`=> 14/9 * x = 28/9`
`=> x = 28/9 : 14/9`
`=> x = 2`
`9, x : (-2/5) = -15/16`
`=> x = -15/16 * (-2/5)`
`=> x = 3/8`
`10, -4/7 : x = -2/5`
`=> x = -4/7 : -2/5`
`=> x = 10/7`
`11, 2/3 x + 5/7 = 3/10`
`=> 2/3 x = 3/10 - 5/7`
`=> 2/3 x = -29/70`
`=> x = -29/70 : 2/3`
`=> x = -87/140`
`12, 3/4 x - 1/2 = 3/7`
`=> 3/4 x = 3/7 + 1/2`
`=> 3/4 x = 13/14`
`=> x = 13/14 : 3/4`
`=> x = 26/21`
`13, 1/2 x + 3/5 x = -33/25`
`=> (1/2 + 3/5)x = -33/25`
`=> 11/10 x = -33/25`
`=> x = -33/25 : 11/10`
`=> x = -6/5`
\(14,\left(\dfrac{2}{3}x-\dfrac{4}{9}\right)\left(\dfrac{1}{2}+\dfrac{-3}{7}:x\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{2}{3}x-\dfrac{4}{9}=0\\\dfrac{1}{2}+\dfrac{-3}{7}:x=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}\dfrac{2}{3}x=\dfrac{4}{9}\\\dfrac{-3}{7}:x=-\dfrac{1}{2}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{9}:\dfrac{2}{3}=\dfrac{2}{3}\\x=\dfrac{-3}{7}:-\dfrac{1}{2}=\dfrac{6}{7}\end{matrix}\right.\)
Vậy \(x\in\left\{\dfrac{2}{3};\dfrac{6}{7}\right\}\)
\(16,\dfrac{3}{7}x+2\dfrac{3}{8}=1\dfrac{2}{5}\)
\(\Rightarrow\dfrac{3}{7}x+\dfrac{19}{8}=\dfrac{7}{5}\)
\(\Rightarrow\dfrac{3}{7}x=\dfrac{7}{5}-\dfrac{19}{8}\)
\(\Rightarrow\dfrac{3}{7}x=-\dfrac{39}{40}\)
`=> x = -39/40 : 3/7`
`=> x = -91/40`
\(18,\left(5x-1\right)\left(2x-\dfrac{1}{3}\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}5x-1=0\\2x-\dfrac{1}{3}=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}5x=1\\2x=\dfrac{1}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{5}\\x=\dfrac{1}{6}\end{matrix}\right.\)
Vậy \(x\in\left\{\dfrac{1}{5};\dfrac{1}{6}\right\}\)
\(19,-\dfrac{21}{13}x+\dfrac{1}{3}=\dfrac{2}{3}\)
\(\Rightarrow-\dfrac{21}{13}x=\dfrac{2}{3}-\dfrac{1}{3}\)
`=> -21/13x = 1/3`
`=> x = 1/3 : -21/13`
`=> x = -13/63`
`20, 3/7 + 1/7 : x = 3/14`
`=> 1/7 : x = 3/14 - 3/7`
`=> 1/7 : x = -3/14`
`=> x = 1/7 : -3/14`
`=> x = -2/3`
`22, `