(x-1)(1/x-1+3)=(x-1)(10/x-1)

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Solution for (x-1)(1/x-1+3)=(x-1)(10/x-1) equation: 



(x-1)(1/x-1+3)=(x-1)(10/x-1)

We move all terms to the left:

(x-1)(1/x-1+3)-((x-1)(10/x-1))=0



Domain of the equation: x-1+3)!=0

We move all terms containing x to the left, all other terms to the right

x+3)!=1

x∈R





Domain of the equation: x-1))!=0

x∈R



We add all the numbers together, and all the variables

(x-1)(1/x+2)-((x-1)(10/x-1))=0

We multiply parentheses ..

(+x^2+2x-1x-2)-((x-1)(10/x-1))=0

We multiply all the terms by the denominator


((+x^2+2x-1x-2))*x-1))-((x-1)(10=0

We add all the numbers together, and all the variables

((+x^2+2x-1x-2))*x-1))-((x=0

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