Question

how to solve x/2-1/5=x/3+1/4

Answer 1

x/2-1/5=x/3+1/4

5x-2/10=4x+3/12

crossmultiply....

(5x-2)(12)=(4x+3)(10)

60x-24=40x+30

20x=54

x=20/54=10/27

Answer 2

x/2-1/5=x/3+1/4

x/2-x/3=1/4+1/5

Lcm of 2,3=6 and lcm of 4,5=20

3x/6-2x/6=5/20+4/20

$x = \frac{9}{20} \times 6$

x=54/20=27/10

Hope it helps