X-4/x-8=x+1/x-2

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Solution for X-4/x-8=x+1/x-2 equation:



X-4/X-8=X+1/X-2
We move all terms to the left:
X-4/X-8-(X+1/X-2)=0
Domain of the equation: X!=0
X∈R
Domain of the equation: X-2)!=0
X∈R
We get rid of parentheses
X-4/X-X-1/X+2-8=0
We multiply all the terms by the denominator
X*X-X*X+2*X-8*X-4-1=0
We add all the numbers together, and all the variables
-6X+X*X-X*X-5=0
Wy multiply elements
X^2-1X^2-6X-5=0
We add all the numbers together, and all the variables
-6X-5=0
We move all terms containing X to the left, all other terms to the right
-6X=5
X=5/-6
X=-5/6

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