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x-7/x+5=x-6/x+2
We move all terms to the left:
x-7/x+5-(x-6/x+2)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0We get rid of parentheses
x∈R
x-7/x-x+6/x-2+5=0
We multiply all the terms by the denominator
x*x-x*x-2*x+5*x-7+6=0
We add all the numbers together, and all the variables
3x+x*x-x*x-1=0
Wy multiply elements
x^2-1x^2+3x-1=0
We add all the numbers together, and all the variables
3x-1=0
We move all terms containing x to the left, all other terms to the right
3x=1
x=1/3
x=1/3
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