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12/x=10/x-7
We move all terms to the left:
12/x-(10/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
12/x-10/x+7=0
We multiply all the terms by the denominator
7*x+12-10=0
We add all the numbers together, and all the variables
7x+2=0
We move all terms containing x to the left, all other terms to the right
7x=-2
x=-2/7
x=-2/7
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