Question

\(2\times(x-\dfrac{1}{2})=3\dfrac{1}{3}\)

Answer 1

\(2\times\left(x-\dfrac{1}{2}\right)=3\dfrac{1}{3}\\ \Leftrightarrow2\times\left(x-\dfrac{1}{2}\right)=\dfrac{3\times3+1}{3}\\ \Leftrightarrow2\times\left(x-\dfrac{1}{2}\right)=\dfrac{10}{3}\\ \Leftrightarrow x-\dfrac{1}{2}=\dfrac{10}{3}:2\\ \Leftrightarrow x-\dfrac{1}{2}=\dfrac{5}{3}\\ \Leftrightarrow x=\dfrac{5}{3}+\dfrac{1}{2}=\dfrac{5\times2+1\times3}{6}\\ \Leftrightarrow x=\dfrac{13}{6}\)