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5x/x+5=5/x-7
We move all terms to the left:
5x/x+5-(5/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
5x/x-5/x+7+5=0
We multiply all the terms by the denominator
5x+7*x+5*x-5=0
We add all the numbers together, and all the variables
17x-5=0
We move all terms containing x to the left, all other terms to the right
17x=5
x=5/17
x=5/17
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