5/9 - 5/9 × (x - 1) = 5/18
5/9 × (x - 1) = 5/9 - 5/18
5/9 × (x - 1) = 5/18
x - 1 = 5/18 : 5/9
x - 1 = 1/2
x = 1/2 + 1
x = 3/2
\(\dfrac{5}{9}-\dfrac{5}{9}.\left(x-1\right)=\dfrac{5}{18}\)
\(\dfrac{5}{9}.\left(x-1\right)=\dfrac{5}{9}-\dfrac{5}{18}\)
\(\dfrac{5}{9}.\left(x-1\right)=\dfrac{5}{18}\)
\(x-1=\dfrac{5}{18}:\dfrac{5}{9}\)
\(x-1=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}+1\)
\(x=\dfrac{3}{2}\)
