8/(2x+12)=6/(x+8)

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Solution for 8/(2x+12)=6/(x+8) equation:



8/(2x+12)=6/(x+8)
We move all terms to the left:
8/(2x+12)-(6/(x+8))=0
Domain of the equation: (2x+12)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-12
x!=-12/2
x!=-6
x∈R
Domain of the equation: (x+8))!=0
x∈R
We calculate fractions
8x/((2x+12)*(x+8)))+(-(6*(2x+12))/((2x+12)*(x+8)))=0
We calculate terms in parentheses: -(6*(2x+12))/((2x+12)*(x+8))), so:
6*(2x+12))/((2x+12)*(x+8))
We multiply all the terms by the denominator
6*(2x+12))
We multiply parentheses
12x+
We add all the numbers together, and all the variables
12x
Back to the equation:
-(12x)
We add all the numbers together, and all the variables
-12x+8x/((2x+12)*(x+8)))+(=0
We multiply all the terms by the denominator
-12x*((2x+12)*(x+8)))+(+8x=0
We add all the numbers together, and all the variables
8x-12x*((2x+12)*(x+8)))+(=0

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