Question

Answer 1

\(x-\dfrac{1}{2}=-\dfrac{2}{3}\\ x=-\dfrac{2}{3}+\dfrac{1}{2}\\ x=-\dfrac{4}{6}+\dfrac{3}{6}\\ x=-\dfrac{1}{6}\\ x-\dfrac{1}{15}=\dfrac{1}{10}\\ x=\dfrac{1}{10}+\dfrac{1}{15}\\ x=\dfrac{15}{150}+\dfrac{10}{150}\\ x=\dfrac{25}{150}\\ x=\dfrac{1}{6}\\ x-\dfrac{3}{5}=-\dfrac{2}{3}\\ x=-\dfrac{2}{3}+\dfrac{3}{5}\\ x=-\dfrac{10}{15}+\dfrac{9}{15}\\ x=-\dfrac{1}{15}\)

Answer 2

a)\(x=-\dfrac{4}{6}+\dfrac{3}{6}=-\dfrac{1}{6}\)
b)\(x=\dfrac{3}{30}+\dfrac{2}{30}=\dfrac{1}{6}\)
c)\(x=-\dfrac{10}{15}+\dfrac{9}{15}=-\dfrac{1}{15}\)

Answer 3

x - \(\dfrac{1}{2}\) = \(-\dfrac{2}{3}\)                            x - \(\dfrac{1}{15}\) = \(\dfrac{1}{10}\)                       x - \(\dfrac{3}{5}\) = \(-\dfrac{2}{3}\)

x       = \(-\dfrac{2}{3}\) + \(\dfrac{1}{2}\)                     x          = \(\dfrac{1}{10}\) + \(\dfrac{1}{15}\)             x       =  - \(\dfrac{2}{3}\) + \(\dfrac{3}{5}\)

x       = -\(\dfrac{1}{6}\)                            x           =  \(\dfrac{1}{6}\)                       x       =   \(\dfrac{-1}{15}\)