Question

Solve:

\[\frac{2x}{5} - \frac{x}{2} = \frac{5}{2}\]

Answer 1

\[\frac{2x}{5} - \frac{x}{2} = \frac{5}{2}\]

or, \[\frac{4x - 5x}{10} = \frac{5}{2}\]  [Taking the L.C.M. as 10]
or, \[\frac{- x}{10} = \frac{5}{2}\]

or, \[\frac{- x}{10} \times \left( - 10 \right) = \frac{5}{2} \times \left( - 10 \right)\] [Multiplying both the sides by (−10)]
or, x = −25