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