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4x/x-3+5=12/x-3
We move all terms to the left:
4x/x-3+5-(12/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We add all the numbers together, and all the variables
x∈R
4x/x-(12/x-3)+2=0
We get rid of parentheses
4x/x-12/x+3+2=0
We multiply all the terms by the denominator
4x+3*x+2*x-12=0
We add all the numbers together, and all the variables
9x-12=0
We move all terms containing x to the left, all other terms to the right
9x=12
x=12/9
x=1+1/3
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