(x+9)/(2x+1)+9=13/22

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Solution for (x+9)/(2x+1)+9=13/22 equation: 



(x+9)/(2x+1)+9=13/22

We move all terms to the left:

(x+9)/(2x+1)+9-(13/22)=0



Domain of the equation: (2x+1)!=0

We move all terms containing x to the left, all other terms to the right

2x!=-1

x!=-1/2

x!=-1/2

x∈R



We add all the numbers together, and all the variables

(x+9)/(2x+1)+9-(+13/22)=0

We get rid of parentheses

(x+9)/(2x+1)+9-13/22=0

We calculate fractions


(22x+198)/(44x+22)+(-26x-13)/(44x+22)+9=0

We multiply all the terms by the denominator


(22x+198)+(-26x-13)+9*(44x+22)=0

We multiply parentheses

(22x+198)+(-26x-13)+396x+198=0

We get rid of parentheses

22x-26x+396x+198-13+198=0

We add all the numbers together, and all the variables

392x+383=0

We move all terms containing x to the left, all other terms to the right

392x=-383

x=-383/392

x=-383/392

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