Question

\(\left|\dfrac{7}{8}x+\dfrac{5}{6}\right|-\left|\dfrac{1}{2}x+5\right|=0\)

Answer 1

Answer 2

\(\left|\dfrac{7}{8}x+\dfrac{5}{6}\right|-\left|\dfrac{1}{2}x+5\right|=0\\ \Leftrightarrow\left|\dfrac{7}{8}x+\dfrac{5}{6}\right|=\left|\dfrac{1}{2}x+5\right|\\ \Leftrightarrow\left[{}\begin{matrix}\dfrac{7}{8}x+\dfrac{5}{6}=\dfrac{1}{2}x+5\\\dfrac{7}{8}x+\dfrac{5}{6}=-\left(\dfrac{1}{2}x+5\right)\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{100}{9}\\-\dfrac{140}{33}\end{matrix}\right.\)