(x-5)/(x+7)=2/11

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Solution for (x-5)/(x+7)=2/11 equation:



(x-5)/(x+7)=2/11
We move all terms to the left:
(x-5)/(x+7)-(2/11)=0
Domain of the equation: (x+7)!=0
We move all terms containing x to the left, all other terms to the right
x!=-7
x∈R
We add all the numbers together, and all the variables
(x-5)/(x+7)-(+2/11)=0
We get rid of parentheses
(x-5)/(x+7)-2/11=0
We calculate fractions
(11x-55)/(11x+77)+(-2x-14)/(11x+77)=0
We multiply all the terms by the denominator
(11x-55)+(-2x-14)=0
We get rid of parentheses
11x-2x-55-14=0
We add all the numbers together, and all the variables
9x-69=0
We move all terms containing x to the left, all other terms to the right
9x=69
x=69/9
x=7+2/3

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