SOLUTION: Here is another one that has me stumped. Can someone help me with this? Solve: 5/2x+1/4x= 11/4+x Solve for x= Type an integer or simplified fraction.

Algebra ->  Equations -> SOLUTION: Here is another one that has me stumped. Can someone help me with this? Solve: 5/2x+1/4x= 11/4+x Solve for x= Type an integer or simplified fraction.       Log On


   

Question 299191: Here is another one that has me stumped. Can someone help me with this?
Solve:
5/2x+1/4x= 11/4+x
Solve for x=
Type an integer or simplified fraction.
Thanks in advance!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F2%29x%2B%281%2F4%29x=11%2F4%2Bx Start with the given equation.


Multiply EVERY term by the LCD 4 to clear out the fractions.


10x%2Bx=11%2B4x Multiply and simplify.


11x=11%2B4x Combine like terms on the left side.


11x-4x=11 Subtract 4x from both sides.


7x=11 Combine like terms on the left side.


x=%2811%29%2F%287%29 Divide both sides by 7 to isolate x.


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Answer:

So the solution is x=11%2F7