SOLUTION: 5/2x+1/4x=5/4+x the solution is x = what

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Question 327964: 5/2x+1/4x=5/4+x
the solution is x = what
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First simplify,
%285%2F2%29%2Fx%2B%281%2F4%29%2Fx=5%2F%284%2Bx%29
%2810%2F4%29%2Fx%2B%281%2F4%29%2Fx=5%2F%284%2Bx%29
11%2F%284x%29=5%2F%284%2Bx%29
Multiply both sides by 4x%284%2Bx%29
11%284%2Bx%29=20x
44%2B11x=20x
9x=44
highlight%28x=44%2F9%29