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6/x-5+3+x=x+9
We move all terms to the left:
6/x-5+3+x-(x+9)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
x+6/x-(x+9)-2=0
We get rid of parentheses
x+6/x-x-9-2=0
We multiply all the terms by the denominator
x*x-x*x-9*x-2*x+6=0
We add all the numbers together, and all the variables
-11x+x*x-x*x+6=0
Wy multiply elements
x^2-1x^2-11x+6=0
We add all the numbers together, and all the variables
-11x+6=0
We move all terms containing x to the left, all other terms to the right
-11x=-6
x=-6/-11
x=6/11
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