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7/x-4=-3/x+6
We move all terms to the left:
7/x-4-(-3/x+6)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+6)!=0We get rid of parentheses
x∈R
7/x+3/x-6-4=0
We multiply all the terms by the denominator
-6*x-4*x+7+3=0
We add all the numbers together, and all the variables
-10x+10=0
We move all terms containing x to the left, all other terms to the right
-10x=-10
x=-10/-10
x=1
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