`1/2.x +3/5.(x-2)=3`
`<=>1/2x+3/5x-6/5=3`
`<=>11/10x=21/5`
`<=>x=21/5:11/10=42/11`
1/2.x+3/5.x-3/5.2=3
x.(1/2+3/5)-6/5=3
x.11/10-6/5=3
x.11/10=3-6/5
x.11/10=9/5
x=9/5:11/10
x=18/11
Ta có: \(\dfrac{1}{2}x+\dfrac{3}{5}\left(x-2\right)=3\)
\(\Leftrightarrow\dfrac{1}{2}x+\dfrac{3}{5}x-\dfrac{6}{5}=3\)
\(\Leftrightarrow\dfrac{11}{10}x=\dfrac{21}{5}\)
hay \(x=\dfrac{42}{11}\)
Vậy: \(x=\dfrac{42}{11}\)
\(\dfrac{1}{2}.x+\dfrac{3}{5}.\left(x-2\right)=3\)
\(\dfrac{1}{2}.x+\dfrac{3}{5}.x-\dfrac{6}{5}=3\)
\(x.\left(\dfrac{1}{2}+\dfrac{3}{5}\right)=3+\dfrac{6}{5}\)
\(x.\dfrac{11}{10}=\dfrac{21}{5}\)
\(x=\dfrac{21}{5}:\dfrac{11}{10}\)
\(x=\dfrac{42}{11}\)