(10/(3x+11))+2=7

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Solution for (10/(3x+11))+2=7 equation:



(10/(3x+11))+2=7
We move all terms to the left:
(10/(3x+11))+2-(7)=0
Domain of the equation: (3x+11))!=0
x∈R
We add all the numbers together, and all the variables
(10/(3x+11))-5=0
We multiply all the terms by the denominator
(10-5*(3x+11))=0
We calculate terms in parentheses: +(10-5*(3x+11)), so:
10-5*(3x+11)
determiningTheFunctionDomain -5*(3x+11)+10
We multiply parentheses
-15x-55+10
We add all the numbers together, and all the variables
-15x-45
Back to the equation:
+(-15x-45)
We get rid of parentheses
-15x-45=0
We move all terms containing x to the left, all other terms to the right
-15x=45
x=45/-15
x=-3

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