(2x+4)/(3x+5)=5/7

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Solution for (2x+4)/(3x+5)=5/7 equation:



(2x+4)/(3x+5)=5/7
We move all terms to the left:
(2x+4)/(3x+5)-(5/7)=0
Domain of the equation: (3x+5)!=0
We move all terms containing x to the left, all other terms to the right
3x!=-5
x!=-5/3
x!=-1+2/3
x∈R
We add all the numbers together, and all the variables
(2x+4)/(3x+5)-(+5/7)=0
We get rid of parentheses
(2x+4)/(3x+5)-5/7=0
We calculate fractions
(14x+28)/(21x+35)+(-15x-25)/(21x+35)=0
We multiply all the terms by the denominator
(14x+28)+(-15x-25)=0
We get rid of parentheses
14x-15x+28-25=0
We add all the numbers together, and all the variables
-1x+3=0
We move all terms containing x to the left, all other terms to the right
-x=-3
x=-3/-1
x=+3

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