SOLUTION: Please help me solve the following equation: 4/x+2 - 6/x-2 = 6/x2-4

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Question 313821: Please help me solve the following equation:
4/x+2 - 6/x-2 = 6/x2-4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x%2B2%29 - 6%2F%28x-2%29 = 6%2F%28x%5E2-4%29
The right denominator is the difference of squares, factors to:
4%2F%28x%2B2%29 - 6%2F%28x-2%29 = 6%2F%28%28x-2%29%28x%2B2%29%29
Multiply each term by (x-2)(x+2), cancels the denominators, leaving:
4(x-2) - 6(x+2) = 6
:
4x - 8 - 6x - 12 = 6
:
-2x - 20 = 6
:
-2x = 6 + 20
:
-2x = 26
:
x = 26%2F%28-2%29
x = -13
:
:
Check solution in original equation
4%2F%28x%2B2%29 - 6%2F%28x-2%29 = 6%2F%28x%5E2-4%29
x=-13
4%2F%28-13%2B2%29 - 6%2F%28-13-2%29 = 6%2F%28-13%5E2-4%29
:
4%2F%28-11%29 - 6%2F%28-15%29 = 6%2F%28169-4%29
-.36 - (-.4) = .04
-.36 + .40 = .04