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1/(2x-2)=10
We move all terms to the left:
1/(2x-2)-(10)=0
Domain of the equation: (2x-2)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
2x!=2
x!=2/2
x!=1
x∈R
-10*(2x-2)+1=0
We multiply parentheses
-20x+20+1=0
We add all the numbers together, and all the variables
-20x+21=0
We move all terms containing x to the left, all other terms to the right
-20x=-21
x=-21/-20
x=1+1/20
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