*Trường hợp 1: \(x\ge-10\)
\(\Leftrightarrow\frac{-7}{8}x-\frac{5}{6}-\left(\frac{1}{2}x+5\right)=0\)
\(\Leftrightarrow\frac{-7}{8}x-\frac{5}{6}-\frac{1}{2}x-5=0\)
\(\Leftrightarrow\frac{-11}{8}x-\frac{35}{6}=0\)
\(\Leftrightarrow\frac{-11}{8}x=\frac{35}{6}\)
hay \(x=-\frac{140}{33}\)(tm)
*Trường hợp 2: \(x\ge\frac{-20}{21}\)
\(\Leftrightarrow\frac{7}{8}x+\frac{5}{6}-\left(\frac{1}{2}x+5\right)=0\)
\(\Leftrightarrow\frac{7}{8}x+\frac{5}{6}-\frac{1}{2}x-5=0\)
\(\Leftrightarrow\frac{3}{8}x-\frac{25}{6}=0\)
\(\Leftrightarrow\frac{3}{8}x=\frac{25}{6}\)
hay \(x=\frac{100}{9}\)(tm)
*Trường hợp 3: