(10-x)/x=0.1

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Solution for (10-x)/x=0.1 equation:



(10-x)/x=0.1
We move all terms to the left:
(10-x)/x-(0.1)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
(-1x+10)/x-(0.1)=0
We add all the numbers together, and all the variables
(-1x+10)/x-0.1=0
We multiply all the terms by the denominator
(-1x+10)-(0.1)*x=0
We multiply parentheses
(-1x+10)-0.1x=0
We get rid of parentheses
-1x-0.1x+10=0
We add all the numbers together, and all the variables
-1.1x+10=0
We move all terms containing x to the left, all other terms to the right
-1.1x=-10
x=-10/-1.1
x=9+0.1/1.1

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