Solve the following expression:$\frac{X}{2}-\frac{1}{4}=\frac{X}{3}+\frac{1}{2}$

Solution:

$\frac{x}{2} - \frac{x}{3} = \frac{1}{2} + \frac{1}{4}$

$\frac{3x-2x}{6} = \frac{2+1}{4}$

$\frac{x}{6} = \frac{3}{4}$ 

$x = \frac{3}{4} \times 6 = \frac{9}{2}$ = 4.5

Therefore the value of $x$ is 4.5