Question

-5/6-x=7/12+-1/3

Answer 1

\(-\dfrac{5}{6}-x=\dfrac{7}{12}+\left(-\dfrac{1}{3}\right)\)

\(\Leftrightarrow-\dfrac{5}{6}-x=\dfrac{7}{12}-\dfrac{1}{3}\)

\(\Leftrightarrow-\dfrac{5}{6}-x=\dfrac{7}{12}-\dfrac{4}{12}\)

\(\Leftrightarrow-\dfrac{5}{6}-x=\dfrac{3}{12}\)

\(\Leftrightarrow-x=\dfrac{3}{12}+\dfrac{5}{6}\)

\(\Leftrightarrow-x=\dfrac{3}{12}+\dfrac{10}{12}\)

\(\Leftrightarrow-x=\dfrac{13}{12}\)

\(\Leftrightarrow x=-\dfrac{13}{12}\)