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(x-1)/(x-5)=6.5
We move all terms to the left:
(x-1)/(x-5)-(6.5)=0
Domain of the equation: (x-5)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x!=5
x∈R
(x-1)/(x-5)-6.5=0
We multiply all the terms by the denominator
(x-1)-(6.5)*(x-5)=0
We get rid of parentheses
x-(6.5)*(x-5)-1=0
We move all terms containing x to the left, all other terms to the right
x-(6.5)*(x-5)=1
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