SOLUTION: Please help, Find the real solution: {{{(3/x)-(3/(x+2))=2}}} Answer: x=-3 and 1 But How? I have tried: {{{(5/(x+2))-(3/(x+2))=4}}} {{{(X+2)(2/(x+2))=4((x+2))}}} {{{2=4x

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Please help, Find the real solution: {{{(3/x)-(3/(x+2))=2}}} Answer: x=-3 and 1 But How? I have tried: {{{(5/(x+2))-(3/(x+2))=4}}} {{{(X+2)(2/(x+2))=4((x+2))}}} {{{2=4x      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 981945: Please help, Find the real solution:
%283%2Fx%29-%283%2F%28x%2B2%29%29=2
Answer: x=-3 and 1
But How? I have tried:
%285%2F%28x%2B2%29%29-%283%2F%28x%2B2%29%29=4
%28X%2B2%29%282%2F%28x%2B2%29%29=4%28%28x%2B2%29%29
2=4x%2B8
0=2x%2B4
-4=2x
x=-2
Found 2 solutions by jim_thompson5910, josgarithmetic:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The denominators are x and x+2. They are not the same expression. To combine the fractions, the denominators must be the same.


The LCD is x(x+2). Multiply the first fraction by (x+2)/(x+2) to get that first denominator equal to the LCD. Multiply the second fraction by x/x to get that second denominator equal to the LCD.


%283%2Fx%29-%283%2F%28x%2B2%29%29=2


%283%28x%2B2%29%29%2F%28x%28x%2B2%29%29-%283%2F%28x%2B2%29%29=2 Multiply the first fraction by (x+2)/(x+2)


%283%28x%2B2%29%29%2F%28x%28x%2B2%29%29-%283x%29%2F%28x%28x%2B2%29%29=2 Multiply the second fraction by x/x


%283%28x%2B2%29-3x%29%2F%28x%28x%2B2%29%29=2 Since the fractions have the same denominator, we can finally combine them.


%283x%2B6-3x%29%2F%28x%28x%2B2%29%29=2


%286%29%2F%28x%28x%2B2%29%29=2


6=2x%28x%2B2%29


6=2x%5E2%2B4x


0=2x%5E2%2B4x-6


2x%5E2%2B4x-6=0


2%28x%5E2%2B2x-3%29=0


x%5E2%2B2x-3=0


%28x%2B3%29%28x-1%29=0


x%2B3=0 or x-1=0


x=-3 or x=1

Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Use basic fractions skills. The simplest common denominator is x%28x%2B2%29. Multiply left side and right side by x%28x%2B2%29, simplify, and continue from there to a solution.