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X-6/X=X+4/X+1
We move all terms to the left:
X-6/X-(X+4/X+1)=0
Domain of the equation: X!=0
X∈R
Domain of the equation: X+1)!=0We get rid of parentheses
X∈R
X-6/X-X-4/X-1=0
We multiply all the terms by the denominator
X*X-X*X-1*X-6-4=0
We add all the numbers together, and all the variables
-1X+X*X-X*X-10=0
Wy multiply elements
X^2-1X^2-1X-10=0
We add all the numbers together, and all the variables
-1X-10=0
We move all terms containing X to the left, all other terms to the right
-X=10
X=10/-1
X=-10
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