`a, 5/9-4/9x=8/9`
`4/9x = -3/9`
`x = -3/4`
`b, 11/10x -1/3=2/5`
`11/10x = 11/15`
`x = 11/15 :11/10`
`x = 22/31`
`c, 7/20 + 5/20 : x = 3/4`
`5/20 : x = 8/20`
`x = 5/20 : 8/20`
`x = 5/8`
a: =>5-4x=8
=>4x=-3
=>x=-3/4
b; \(\Leftrightarrow x\cdot\dfrac{11}{10}=\dfrac{2}{5}+\dfrac{1}{3}=\dfrac{6+5}{15}=\dfrac{11}{15}\)
=>\(x=\dfrac{11}{15}:\dfrac{11}{10}=\dfrac{2}{3}\)
c: \(\Leftrightarrow\dfrac{1}{4}:x=\dfrac{3}{4}-\dfrac{7}{20}=\dfrac{15-7}{20}=\dfrac{8}{20}=\dfrac{2}{5}\)
=>\(x=\dfrac{1}{4}:\dfrac{2}{5}=\dfrac{1}{4}\cdot\dfrac{5}{2}=\dfrac{5}{8}\)
d: \(\Leftrightarrow x\cdot\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{-5}{3}\cdot\dfrac{-6}{25}=\dfrac{30}{75}=\dfrac{2}{5}\)
=>x*1/2=2/5-1/2=4/10-5/10=-1/10
=>x=-1/10:1/2=-1/5
e: =>5/7:x=-33/35
=>x=-25/33
f: =>-3x=4/5
=>x=-4/15
g: =>-1/6x=-3/4-1/5=-15/20-4/20=-19/20
=>x=19/20*6=19*3/10=57/10