Question

x/2-2/3=1/6

Answer 1

\(\dfrac{x}{2}-\dfrac{2}{3}=\dfrac{1}{6}\\ \dfrac{x}{2}=\dfrac{1}{6}+\dfrac{2}{3}\\ \dfrac{x}{2}=\dfrac{1}{6}+\dfrac{4}{6}\\ \dfrac{x}{2}=\dfrac{5}{6}\\ 6x=2\cdot5\\ 6x=10\\ x=10:6\\ x=\dfrac{5}{3}\)

Answer 2

\(\dfrac{x}{2}-\dfrac{2}{3}=\dfrac{1}{6}\)

\(\Leftrightarrow\dfrac{x}{2}=\dfrac{1}{6}+\dfrac{2}{3}\)

\(\Leftrightarrow\dfrac{x}{2}=\dfrac{1}{6}+\dfrac{4}{6}\)

\(\Leftrightarrow\dfrac{x}{2}=\dfrac{5}{6}\)

\(\Rightarrow6x=2.5\)

\(\Rightarrow6x=10\)

\(\Rightarrow x=\dfrac{10}{6}\)

\(\Rightarrow x=\dfrac{5}{3}\)