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3x/x+4=5/x+3
We move all terms to the left:
3x/x+4-(5/x+3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+3)!=0We get rid of parentheses
x∈R
3x/x-5/x-3+4=0
We multiply all the terms by the denominator
3x-3*x+4*x-5=0
We add all the numbers together, and all the variables
4x-5=0
We move all terms containing x to the left, all other terms to the right
4x=5
x=5/4
x=1+1/4
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