a) `x+2/7 = 1-1/4`
`x+2/7 = 3/4`
`x=3/4 - 2/7`
`x=13/28`
b) `1/2 x-2/5 = 1/5`
`1/2 x= 1/5 + 2/5`
`1/2 x= 3/5`
`x= 3/5 : 1/2`
`x=6/5`
c) `1/3 x-2/5 x =7/15`
`-1/15 x=7/15`
`x= 7/15 : (-1/15)`
`x=-7`
d) `|x-5/3| -2/5 = 2 1/3`
`|x-5/3| -2/5 = 7/3`
`|x-5/3 | = 7/3 + 2/5`
`|x-5/3| = 41/15`
\(\left[ \begin{array}{l}x-\dfrac{5}{3}=\dfrac{41}{15}\\x-\dfrac{5}{3} = \dfrac{-41}{15}\end{array} \right.\)
\(\left[ \begin{array}{l}x=\dfrac{22}{5}\\x=\dfrac{-16}{15}\end{array} \right.\)