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5/x-5=7+x/x-5
We move all terms to the left:
5/x-5-(7+x/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0We add all the numbers together, and all the variables
x∈R
5/x-(x/x+2)-5=0
We get rid of parentheses
5/x-x/x-2-5=0
Fractions to decimals
5/x-2-5+1=0
We multiply all the terms by the denominator
-2*x-5*x+1*x+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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