\(\dfrac{3}{2}:\dfrac{x}{5}+\dfrac{5}{7}=\dfrac{2}{7}:\dfrac{3}{5}+\dfrac{10}{9}\)
<=> \(\dfrac{3}{2}:\dfrac{x}{5}+\dfrac{5}{7}=\dfrac{100}{63}\)
<=> \(\dfrac{3}{2}:\dfrac{x}{5}=\dfrac{55}{63}\)
<=> \(\dfrac{x}{5}=\dfrac{189}{110}\)
<=> \(\dfrac{22x}{110}=\dfrac{189}{110}\)
<=> 22x = 189
<=> x = \(\dfrac{189}{22}\)