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x/(x-5)=10
We move all terms to the left:
x/(x-5)-(10)=0
Domain of the equation: (x-5)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=5
x∈R
x-10*(x-5)=0
We multiply parentheses
x-10x+50=0
We add all the numbers together, and all the variables
-9x+50=0
We move all terms containing x to the left, all other terms to the right
-9x=-50
x=-50/-9
x=5+5/9
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