\(=>x:\dfrac{1}{4}=\left(-\dfrac{1}{7}:\dfrac{2}{7}\right)-\dfrac{3}{2}=-\dfrac{1}{2}-\dfrac{3}{2}=-\dfrac{4}{2}=-2\)
\(=>x=\dfrac{1}{4}\cdot\left(-2\right)=-\dfrac{2}{4}=-\dfrac{1}{2}\)
\(\Leftrightarrow x:\dfrac{1}{4}+\dfrac{3}{2}=-\dfrac{1}{7}:\dfrac{2}{7}\)
\(\Leftrightarrow x:\dfrac{1}{4}+\dfrac{3}{2}=-\dfrac{1}{2}\)
\(\Leftrightarrow x:\dfrac{1}{4}=-\dfrac{1}{2}-\dfrac{3}{2}\)
\(\Leftrightarrow x:\dfrac{1}{4}=-\dfrac{4}{2}\)
\(\Leftrightarrow x=-\dfrac{4}{2}.\dfrac{1}{4}\)
\(\Leftrightarrow x=-\dfrac{4}{8}\)
\(\Leftrightarrow x=-\dfrac{1}{2}\)