SOLUTION: 5/2x + 1/4x = 9/4 + x ( this one I just gave up on, could not for the life of me even come close to the right answer) Please help. Thank you!

Algebra ->  Expressions-with-variables -> SOLUTION: 5/2x + 1/4x = 9/4 + x ( this one I just gave up on, could not for the life of me even come close to the right answer) Please help. Thank you!      Log On


   

Question 178295: 5/2x + 1/4x = 9/4 + x ( this one I just gave up on, could not for the life of me even come close to the right answer) Please help. Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F2%29x%2B%281%2F4%29x=9%2F4%2Bx Start with the given equation.


4%28%285%2Fcross%282%29%29x%2B%281%2Fcross%284%29%29x%29=4%289%2Fcross%284%29%2Bx%29 Multiply both sides by the LCD 4 to clear any fractions.


10x%2Bx=9%2B4x Distribute and multiply.


11x=9%2B4x Combine like terms on the left side.


11x-4x=9 Subtract 4x from both sides.


7x=9 Combine like terms on the left side.


x=%289%29%2F%287%29 Divide both sides by 7 to isolate x.


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Answer:

So the answer is x=9%2F7 which approximates to x=1.286.