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X+3/X-4=X-5/X+4
We move all terms to the left:
X+3/X-4-(X-5/X+4)=0
Domain of the equation: X!=0
X∈R
Domain of the equation: X+4)!=0We get rid of parentheses
X∈R
X+3/X-X+5/X-4-4=0
We multiply all the terms by the denominator
X*X-X*X-4*X-4*X+3+5=0
We add all the numbers together, and all the variables
-8X+X*X-X*X+8=0
Wy multiply elements
X^2-1X^2-8X+8=0
We add all the numbers together, and all the variables
-8X+8=0
We move all terms containing X to the left, all other terms to the right
-8X=-8
X=-8/-8
X=1
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