(3+x)/(x+19)=3/5

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Solution for (3+x)/(x+19)=3/5 equation:



(3+x)/(x+19)=3/5
We move all terms to the left:
(3+x)/(x+19)-(3/5)=0
Domain of the equation: (x+19)!=0
We move all terms containing x to the left, all other terms to the right
x!=-19
x∈R
We add all the numbers together, and all the variables
(x+3)/(x+19)-(+3/5)=0
We get rid of parentheses
(x+3)/(x+19)-3/5=0
We calculate fractions
(5x+15)/(5x+95)+(-3x-57)/(5x+95)=0
We multiply all the terms by the denominator
(5x+15)+(-3x-57)=0
We get rid of parentheses
5x-3x+15-57=0
We add all the numbers together, and all the variables
2x-42=0
We move all terms containing x to the left, all other terms to the right
2x=42
x=42/2
x=21

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