4x/4x-3+5=12/x-3

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Solution for 4x/4x-3+5=12/x-3 equation:



4x/4x-3+5=12/x-3
We move all terms to the left:
4x/4x-3+5-(12/x-3)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: x-3)!=0
x∈R
We add all the numbers together, and all the variables
4x/4x-(12/x-3)+2=0
We get rid of parentheses
4x/4x-12/x+3+2=0
Fractions to decimals
-12/x+3+2+1=0
We multiply all the terms by the denominator
3*x+2*x+1*x-12=0
We add all the numbers together, and all the variables
6x-12=0
We move all terms containing x to the left, all other terms to the right
6x=12
x=12/6
x=2

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