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(x-2)/(x-1)=22/3
We move all terms to the left:
(x-2)/(x-1)-(22/3)=0
Domain of the equation: (x-1)!=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!=1
x∈R
(x-2)/(x-1)-(+22/3)=0
We get rid of parentheses
(x-2)/(x-1)-22/3=0
We calculate fractions
(3x-6)/(3x-3)+(-22x+22)/(3x-3)=0
We multiply all the terms by the denominator
(3x-6)+(-22x+22)=0
We get rid of parentheses
3x-22x-6+22=0
We add all the numbers together, and all the variables
-19x+16=0
We move all terms containing x to the left, all other terms to the right
-19x=-16
x=-16/-19
x=16/19
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