\(\dfrac{5}{9}x=\dfrac{1}{6}+\dfrac{2}{3}\)
\(\dfrac{5}{9}x=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}:\dfrac{5}{9}\)
\(x=\dfrac{3}{2}\)
`5/9x-2/3=1/6`
`5/9x=1/6+2/3`
`5/9x=5/6`
`x=5/6:5/9`
`x=3/2`
5/9x - 2/3 = 1/6
5/9x = 1/6 + 2/3
5/9x = 5/6
x = 5/6 x 5/9
x = 3/2.