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6/x+5=1-1/x-5
We move all terms to the left:
6/x+5-(1-1/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We add all the numbers together, and all the variables
x∈R
6/x-(-1/x-4)+5=0
We get rid of parentheses
6/x+1/x+4+5=0
We multiply all the terms by the denominator
4*x+5*x+6+1=0
We add all the numbers together, and all the variables
9x+7=0
We move all terms containing x to the left, all other terms to the right
9x=-7
x=-7/9
x=-7/9
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