SOLUTION: could someone please help me slove this equation.. {{{x/(5x+10)}}}+{{{(x-3)/(x+2)}}}={{{7/5}}} I am not sure what to do to solve this.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: could someone please help me slove this equation.. {{{x/(5x+10)}}}+{{{(x-3)/(x+2)}}}={{{7/5}}} I am not sure what to do to solve this.      Log On


   

Question 97030: could someone please help me slove this equation.. x%2F%285x%2B10%29+%28x-3%29%2F%28x%2B2%29=7%2F5
I am not sure what to do to solve this.
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
the given equation
x%2F%285x%2B10%29+%28x-3%29%2F%28x%2B2%29=7%2F5
x%2F%285%28x%2B2%29%29+%28x-3%29%2F%28x%2B2%29=7%2F5

Multiplying by 5(x+2) on both sides
x%2F%285%28x%2B2%29%29%2A5%28x%2B2%29+%28x-3%29%2F%28x%2B2%29%2A+5%28x%2B2%29=7%2F5%2A+5%28x%2B2%29
x + 5(x-3) = 7 (x + 2)
x + 5x -15 = 7x + 14
Transposing the similar terms
x+ 5x - 7x = 14 + 15
-x = 29
x = -29