SOLUTION: Can you please help me solve this problem? 5/2x+1/4x=7/4+x Thank you so much; I really appreciate your help!

Question 192169: Can you please help me solve this problem?
5/2x+1/4x=7/4+x
Thank you so much; I really appreciate your help!
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
(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
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