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x+5/x+15=x-7/x-5
We move all terms to the left:
x+5/x+15-(x-7/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We get rid of parentheses
x∈R
x+5/x-x+7/x+5+15=0
We multiply all the terms by the denominator
x*x-x*x+5*x+15*x+5+7=0
We add all the numbers together, and all the variables
20x+x*x-x*x+12=0
Wy multiply elements
x^2-1x^2+20x+12=0
We add all the numbers together, and all the variables
20x+12=0
We move all terms containing x to the left, all other terms to the right
20x=-12
x=-12/20
x=-3/5
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