SOLUTION: 2/3x+2=3/5x-5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 2/3x+2=3/5x-5      Log On


   

Question 147247: 2/3x+2=3/5x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F3%29x%2B2=%283%2F5%29x-5 Start with the given equation.


15%28%282%2Fcross%283%29%29x%2B2%29=15%28%283%2Fcross%285%29%29x-5%29 Multiply both sides by the LCD 15 to clear any fractions.


10x%2B30=9x-75 Distribute and multiply.


10x=9x-75-30 Subtract 30 from both sides.


10x-9x=-75-30 Subtract 9x from both sides.


x=-75-30 Combine like terms on the left side.


x=-105 Combine like terms on the right side.


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

Answer:

So the answer is x=-105