Question

for which value of x the x the x/2-1/4=x/3+1/2

Answer 1

Here is your answer friend.

Answer 2

$\frac{x}{2} - \frac{1}{4} = \frac{x}{3} + \frac{1}{2}$
$\frac{2x - 1}{4} = \frac{2x + 3}{6}$
$6(2x - 1) = 4(2x + 3)$
$12x - 6 = 8x + 12$
$12x - 8x = 12 + 6$
$4x = 18$
$x = \frac{18}{4}$
$x = \frac{9}{2}$