(x+12/x-4)=x-3

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



(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-4)!=0
x∈R
We get rid of parentheses
x+12/x-x-4+3=0
We multiply all the terms by the denominator
x*x-x*x-4*x+3*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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