(x/x-9)=(9/x-9)+10

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Solution for (x/x-9)=(9/x-9)+10 equation:



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

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