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6/x+7=7/x-2
We move all terms to the left:
6/x+7-(7/x-2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-2)!=0We get rid of parentheses
x∈R
6/x-7/x+2+7=0
We multiply all the terms by the denominator
2*x+7*x+6-7=0
We add all the numbers together, and all the variables
9x-1=0
We move all terms containing x to the left, all other terms to the right
9x=1
x=1/9
x=1/9
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