Tập nghiệm của phương trình \(\dfrac{5x-1}{10}+\dfrac{2x+3}{6}=\dfrac{x-8}{15}-\dfrac{x}{30}\) là:
\(S=\left\{\dfrac{4}{3}\right\}\).\(S=\left\{\dfrac{-3}{4}\right\}\).\(S=\left\{\dfrac{-7}{6}\right\}\).\(S=\left\{\dfrac{-6}{7}\right\}\).Hướng dẫn giải:\(\dfrac{5x-1}{10}+\dfrac{2x+3}{6}=\dfrac{x-8}{15}-\dfrac{x}{30}\)
\(\Leftrightarrow\dfrac{3\left(5x-1\right)}{30}+\dfrac{5\left(2x+3\right)}{30}=\dfrac{2\left(x-8\right)}{30}-\dfrac{x}{30}\)
\(\Leftrightarrow3\left(5x-1\right)+5\left(2x+3\right)=2\left(x-8\right)-x\)
\(\Leftrightarrow15x-3+10x+15=2x-16-x\)
\(\Leftrightarrow25x+12=x-16\)
\(\Leftrightarrow25x-x=-16-12\)
\(\Leftrightarrow24x=-28\)
\(\Leftrightarrow x=\dfrac{-28}{24}=\dfrac{-7}{6}\)
