Tìm x biết (left( {x - frac{1}{2}} ight).frac{3}{2} = frac{5}{6} + frac{4}{7})

* Hướng dẫn giải

\(\begin{array}{l}
\left( {x - \frac{1}{2}} \right).\frac{3}{2} = \frac{5}{6} + \frac{4}{7}\\
\left( {x - \frac{1}{2}} \right).\frac{3}{2} = \frac{{59}}{{42}}\\
x - \frac{1}{2} = \frac{{59}}{{42}}:\frac{3}{2}\\
x - \frac{1}{2} = \frac{{59}}{{42}}.\frac{2}{3}\\
x - \frac{1}{2} = \frac{{59}}{{63}}\\
x = \frac{{59}}{{63}} + \frac{1}{2}\\
x = \frac{{181}}{{126}}
\end{array}\)