a: \(2x-\dfrac{1}{3}=-\dfrac{4}{9}\)
=>\(2x=-\dfrac{4}{9}+\dfrac{1}{3}=-\dfrac{1}{9}\)
=>\(x=-\dfrac{1}{9}:2=-\dfrac{1}{18}\)
b: \(\dfrac{4}{3}-\dfrac{5}{3}x=-\dfrac{1}{2}\)
=>\(\dfrac{5}{3}x=\dfrac{4}{3}+\dfrac{1}{2}=\dfrac{8}{6}+\dfrac{3}{6}=\dfrac{11}{6}\)
=>\(x=\dfrac{11}{6}:\dfrac{5}{3}=\dfrac{11}{6}\cdot\dfrac{3}{5}=\dfrac{11}{10}\)
c: \(2x-3=x+\dfrac{1}{2}\)
=>\(2x-x=3+\dfrac{1}{2}\)
=>\(x=\dfrac{7}{2}\)
d: \(\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\)
=>\(\dfrac{2}{3}x-\dfrac{1}{2}x=-\dfrac{1}{3}+\dfrac{2}{5}\)
=>\(\dfrac{1}{6}x=-\dfrac{5}{15}+\dfrac{6}{15}=\dfrac{1}{15}\)
=>\(x=\dfrac{1}{15}:\dfrac{1}{6}=\dfrac{6}{15}=\dfrac{2}{5}\)
e: \(1\dfrac{2}{3}x-\dfrac{1}{4}=\dfrac{5}{6}\)
=>\(\dfrac{5}{3}x=\dfrac{5}{6}+\dfrac{1}{4}=\dfrac{10}{12}+\dfrac{3}{12}=\dfrac{13}{12}\)
=>\(x=\dfrac{13}{12}:\dfrac{5}{3}=\dfrac{13}{12}\cdot\dfrac{3}{5}=\dfrac{13}{4}\cdot\dfrac{1}{5}=\dfrac{13}{20}\)
`a) 2x - 1/3 = -4/9`
`=> 2x = -1/9`
`=> x = -1/18`
`b) 4/3 - 5/3 x = -1/2`
`=> 5/3 x = 4/3 - (-1/2)`
`=> 5/3 x = 11/6`
`=> x= 11/10`
`c) 2x - 3= x + 1/2`
`=> 2x - x = 3 + 1/2`
`=> x = 7/2`
`d) 2/3 x - 2/5 = 1/2 x - 1/3`
`=> 2/3 x - 1/2x = 2/5 -1/3`
`=> 1/6 x = 1/15`
`=> x = 1/15 : 1/6 = 2/5`
`e) 1 2/3 x - 1/4 = 5/6`
`=> 5/3 x = 13/12`
`=> x = 13/21 : 5/3`
`=> x = 13/20`
