Giải phương trình:
\(\frac{2x-1}{4}-5=\frac{2-x}{7}+\frac{5+x}{5}\)
Hướng dẫn giải
\(\frac{2x-1}{4}-5=\frac{2-x}{7}+\frac{5+x}{5}\)
\(\Leftrightarrow\frac{35\left(2x-1\right)-700}{140}=\frac{20\left(2-x\right)+28\left(5+x\right)}{140}\)
\(\Leftrightarrow70x-735=40-20x+140+28x\)
\(\Leftrightarrow70x-28x+20x=40+140+735\)
\(\Leftrightarrow62x=915\)
\(\Leftrightarrow x=\frac{915}{62}.\)
Vậy \(S=\left\{\frac{915}{62}\right\}\)