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((10^x)+2)/((10^x)-1)=3
We move all terms to the left:
((10^x)+2)/((10^x)-1)-(3)=0
Domain of the equation: (10^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
10^x!=1
x!=1/1
x!=1
x∈R
(10^x+2)-3*(10^x-1)=0
We multiply parentheses
(10^x+2)-30x+3=0
We get rid of parentheses
10^x-30x+2+3=0
We add all the numbers together, and all the variables
-30x+10^x+5=0
We move all terms containing x to the left, all other terms to the right
-30x+10^x=-5
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