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9/x-4=3x/x-4
We move all terms to the left:
9/x-4-(3x/x-4)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-4)!=0We get rid of parentheses
x∈R
9/x-3x/x+4-4=0
We multiply all the terms by the denominator
-3x+4*x-4*x+9=0
We add all the numbers together, and all the variables
-3x+9=0
We move all terms containing x to the left, all other terms to the right
-3x=-9
x=-9/-3
x=+3
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