Question

\(\frac{5}{2}x-\frac{1}{3}x+2=\frac{2}{3}\)

Answer 1

 =>\(\frac{5}{2}.x-\frac{1}{3}.x=\frac{2}{3}-2\)

 =>\(x.\left(\frac{5}{2}-\frac{1}{3}\right)=\frac{-4}{3}\)

 =>\(x.\frac{13}{6}=\frac{-4}{3}\)

 =>\(x=\frac{-8}{13}\)

Answer 2

\(\frac{5}{2}x-\frac{1}{3}x+2=\frac{2}{3}=\left(\frac{5}{2}-\frac{1}{3}\right)x+2=\frac{2}{3}=\frac{1}{2}x+2=\frac{2}{3}\)

\(\frac{1}{2}x+2=\frac{2}{3}\Rightarrow\frac{1}{2}x=\frac{2}{3}-2=-\frac{4}{3}\Rightarrow x=-\frac{4}{3}:\frac{1}{2}\Rightarrow x=-\frac{4}{3}\times2=-\frac{8}{3}\)