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x/(x-1)=6/5
We move all terms to the left:
x/(x-1)-(6/5)=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/(x-1)-(+6/5)=0
We get rid of parentheses
x/(x-1)-6/5=0
We calculate fractions
5x/(5x-5)+(-6x+6)/(5x-5)=0
We multiply all the terms by the denominator
5x+(-6x+6)=0
We get rid of parentheses
5x-6x+6=0
We add all the numbers together, and all the variables
-1x+6=0
We move all terms containing x to the left, all other terms to the right
-x=-6
x=-6/-1
x=+6
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