SOLUTION: This equation is difficult. I have tried this expression six times and the answer is wrong still. I need help. 1/x-3 + 2/x+3 = -5x/x^2-9 (x^2-9)1/x-3 + (x^2-9)2/x+3 (x^2-9)-5x/x

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Question 555483: This equation is difficult. I have tried this expression six times and the answer is wrong still. I need help.
1/x-3 + 2/x+3 = -5x/x^2-9
(x^2-9)1/x-3 + (x^2-9)2/x+3
(x^2-9)-5x/x^2-9
or (x+3)*1+(x-3)*2=-5x
1x+3+2x-6=-5x
8x=3
x=3/8
My question is how to arrive at 8x=3? Show steps how to add or multiply or subtract to get 8x. I can do the expression until I get to this point. I do not understand how to simplify and expand to get the answer.

Found 2 solutions by Earlsdon, MathTherapy:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve:
Add the fractions on the left. The LCD is
Simplify the numerator and denominator on the left side.
Multiply both sides by
Add 5x to both sides.
Add 3 to both sides.
Finally, divide both sides by 8.

Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!

This equation is difficult. I have tried this expression six times and the answer is wrong still. I need help.
1/x-3 + 2/x+3 = -5x/x^2-9
(x^2-9)1/x-3 + (x^2-9)2/x+3
(x^2-9)-5x/x^2-9
or (x+3)*1+(x-3)*2=-5x
1x+3+2x-6=-5x
8x=3
x=3/8
My question is how to arrive at 8x=3? Show steps how to add or multiply or subtract to get 8x. I can do the expression until I get to this point. I do not understand how to simplify and expand to get the answer.



---- factoring denominator

1(x + 3) + 2(x - 3) = - 5x --- Multiplying entire equation by LCD, (x - 3)(x + 3)

x + 3 + 2x - 6 = - 5x

3x - 3 = - 5x

3x + 5x = 3

8x = 3

x =

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