SOLUTION: {{{(2/x)+3=(5/2x)+(13/4)}}} Whats the value for x?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(2/x)+3=(5/2x)+(13/4)}}} Whats the value for x?      Log On


   

Question 353005: %282%2Fx%29%2B3=%285%2F2x%29%2B%2813%2F4%29
Whats the value for x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Fx%29%2B3=%285%2F2x%29%2B%2813%2F4%29 Start with the given equation.


8%2B12x=10%2B13x Multiply EVERY term by the LCD 4x to clear out the fractions.


12x=10%2B13x-8 Subtract 8 from both sides.


12x-13x=10-8 Subtract 13x from both sides.


-x=10-8 Combine like terms on the left side.


-x=2 Combine like terms on the right side.


x=%282%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-2 Reduce.


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Answer:

So the solution is x=-2


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim