(2r+7)/5r=5/3

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Solution for (2r+7)/5r=5/3 equation:



(2r+7)/5r=5/3
We move all terms to the left:
(2r+7)/5r-(5/3)=0
Domain of the equation: 5r!=0
r!=0/5
r!=0
r∈R
We add all the numbers together, and all the variables
(2r+7)/5r-(+5/3)=0
We get rid of parentheses
(2r+7)/5r-5/3=0
We calculate fractions
(6r+21)/15r+(-25r)/15r=0
We multiply all the terms by the denominator
(6r+21)+(-25r)=0
We get rid of parentheses
6r-25r+21=0
We add all the numbers together, and all the variables
-19r+21=0
We move all terms containing r to the left, all other terms to the right
-19r=-21
r=-21/-19
r=1+2/19

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