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3/x=7/x+5
We move all terms to the left:
3/x-(7/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
3/x-7/x-5=0
We multiply all the terms by the denominator
-5*x+3-7=0
We add all the numbers together, and all the variables
-5x-4=0
We move all terms containing x to the left, all other terms to the right
-5x=4
x=4/-5
x=-4/5
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