(3x+27)/(4+2x)=5

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Solution for (3x+27)/(4+2x)=5 equation:



(3x+27)/(4+2x)=5
We move all terms to the left:
(3x+27)/(4+2x)-(5)=0
Domain of the equation: (4+2x)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-4
x!=-4/2
x!=-2
x∈R
We add all the numbers together, and all the variables
(3x+27)/(2x+4)-5=0
We multiply all the terms by the denominator
(3x+27)-5*(2x+4)=0
We multiply parentheses
(3x+27)-10x-20=0
We get rid of parentheses
3x-10x+27-20=0
We add all the numbers together, and all the variables
-7x+7=0
We move all terms containing x to the left, all other terms to the right
-7x=-7
x=-7/-7
x=1

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