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6/x-4=-12/x-7
We move all terms to the left:
6/x-4-(-12/x-7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-7)!=0We get rid of parentheses
x∈R
6/x+12/x+7-4=0
We multiply all the terms by the denominator
7*x-4*x+6+12=0
We add all the numbers together, and all the variables
3x+18=0
We move all terms containing x to the left, all other terms to the right
3x=-18
x=-18/3
x=-6
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