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(5x+1)/(x-1)=8
We move all terms to the left:
(5x+1)/(x-1)-(8)=0
Domain of the equation: (x-1)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=1
x∈R
(5x+1)-8*(x-1)=0
We multiply parentheses
(5x+1)-8x+8=0
We get rid of parentheses
5x-8x+1+8=0
We add all the numbers together, and all the variables
-3x+9=0
We move all terms containing x to the left, all other terms to the right
-3x=-9
x=-9/-3
x=+3
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