(x+9)/(2x+10)=13/22

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Solution for (x+9)/(2x+10)=13/22 equation:



(x+9)/(2x+10)=13/22
We move all terms to the left:
(x+9)/(2x+10)-(13/22)=0
Domain of the equation: (2x+10)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-10
x!=-10/2
x!=-5
x∈R
We add all the numbers together, and all the variables
(x+9)/(2x+10)-(+13/22)=0
We get rid of parentheses
(x+9)/(2x+10)-13/22=0
We calculate fractions
(22x+198)/(44x+220)+(-26x-130)/(44x+220)=0
We multiply all the terms by the denominator
(22x+198)+(-26x-130)=0
We get rid of parentheses
22x-26x+198-130=0
We add all the numbers together, and all the variables
-4x+68=0
We move all terms containing x to the left, all other terms to the right
-4x=-68
x=-68/-4
x=+17

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