SOLUTION: 3-(x/3)=2x/5 This is actually a rational equation but i couldn't find it in the topics.

Algebra ->  Equations -> SOLUTION: 3-(x/3)=2x/5 This is actually a rational equation but i couldn't find it in the topics.      Log On


   

Question 202989: 3-(x/3)=2x/5
This is actually a rational equation but i couldn't find it in the topics.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3-x%2F3=2x%2F5 Start with the given equation.


15%283%29-cross%2815%29%5E5%28x%2Fcross%283%29%29=15%282x%2Fcross%285%29%29 Multiply EVERY term by the LCD 15 to clear any fractions.


45-5x=6x Multiply and simplify.


-5x=6x-45 Subtract 45 from both sides.


-5x-6x=-45 Subtract 6x from both sides.


-11x=-45 Combine like terms on the left side.


x=%28-45%29%2F%28-11%29 Divide both sides by -11 to isolate x.


x=45%2F11 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=45%2F11 which approximates to x=4.091.