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