Question 192169
(5/2)x +(1/4)x =(7/4) +x
Multiply  by  4

10x +x=7+4x

7x=7
x=1

check

5/2 +1/4 =7/4 +1
10/4 +1/4 =7/4 +4/4  
11/4 = 11/4   ok

if  you  really  did  mean

5/(2x) +1/(4x) =7/4 +x

mult  by  4x

10 +1 = 7x +4x^2
0= 4x^2 -7x -11

0= (4x+11) (x-1)

x=(1)  and  x=(-11/4)

checking  x=1
5/2 +1/4 =7/4 +1    ok

checking  x=( -11/4)
5/-22/4 +1/-44/4 = 7/4 -11/4
-20/22 -2/22 = -4/4
-22/22  =-4/4  ok