(x+4)/(x+9)=3/8

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Solution for (x+4)/(x+9)=3/8 equation:



(x+4)/(x+9)=3/8
We move all terms to the left:
(x+4)/(x+9)-(3/8)=0
Domain of the equation: (x+9)!=0
We move all terms containing x to the left, all other terms to the right
x!=-9
x∈R
We add all the numbers together, and all the variables
(x+4)/(x+9)-(+3/8)=0
We get rid of parentheses
(x+4)/(x+9)-3/8=0
We calculate fractions
(8x+32)/(8x+72)+(-3x-27)/(8x+72)=0
We multiply all the terms by the denominator
(8x+32)+(-3x-27)=0
We get rid of parentheses
8x-3x+32-27=0
We add all the numbers together, and all the variables
5x+5=0
We move all terms containing x to the left, all other terms to the right
5x=-5
x=-5/5
x=-1

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