is this right? 5/2x + 1/4x = 5/4 + x

(2/2)5/2x + 1/4x= 5/4 + x,
10/4x + 1/4x= 5/4 + x, 11/4x= 5/4 +x'
10/4x-x = 5/4 + x - x, 6/4 x = 5/4, (4/6)6/4x= 5/4(4/6),
x= 5/6.

assume you mean:

(5/2)x + (1/4)x = 5/4 + x
or 5x/2 + x/4 = 5/4 + x

multiply both sides, all terms, by 4
10 x + x = 5 + 4 x
7 x = 5
x = 5/7