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