Question

Tìm x: 2(x-\(\dfrac{1}{2}\))-5(x+\(\dfrac{3}{5}\))=-x+\(\dfrac{1}{3}\)

Answer 1

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

​\(\Leftrightarrow2\left(x-\dfrac{1}{2}\right)-5\left(x+\dfrac{3}{5}\right)=-\left(x-\dfrac{1}{3}\right)\)​

\(\Leftrightarrow2\left(x-\dfrac{1}{2}\right)-5\left(x+\dfrac{3}{5}\right)+\left(x-\dfrac{1}{3}\right)=0\)

\(\Leftrightarrow2x-1-5x-3+x-\dfrac{1}{3}=0\)

\(\Leftrightarrow-2x-\dfrac{13}{3}=0\)

\(\Leftrightarrow-2x=\dfrac{13}{3}\)

\(\Leftrightarrow x=\dfrac{13}{3}:-2\)

\(\Leftrightarrow x=\dfrac{-13}{6}\)

Vậy \(x=\dfrac{-13}{6}\)