SOLUTION: {{{(4/x)=(5/2x)+3}}} Whats The Value For X?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{(4/x)=(5/2x)+3}}} Whats The Value For X?      Log On


   

Question 353001: %284%2Fx%29=%285%2F2x%29%2B3
Whats The Value For X?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2Fx%29=%285%2F2x%29%2B3 Start with the given equation.


8=5%2B6x Multiply EVERY term by the LCD 2x to clear out the fractions.


0=5%2B6x-8 Subtract 8 from both sides.


-6x=5-8 Subtract 6x from both sides.


-6x=-3 Combine like terms on the right side.


x=%28-3%29%2F%28-6%29 Divide both sides by -6 to isolate x.


x=1%2F2 Reduce.


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Answer:

So the solution is x=1%2F2