(5x+2)/(7x+1)=3/4

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Solution for (5x+2)/(7x+1)=3/4 equation:



(5x+2)/(7x+1)=3/4
We move all terms to the left:
(5x+2)/(7x+1)-(3/4)=0
Domain of the equation: (7x+1)!=0
We move all terms containing x to the left, all other terms to the right
7x!=-1
x!=-1/7
x!=-1/7
x∈R
We add all the numbers together, and all the variables
(5x+2)/(7x+1)-(+3/4)=0
We get rid of parentheses
(5x+2)/(7x+1)-3/4=0
We calculate fractions
(20x+8)/(28x+4)+(-21x-3)/(28x+4)=0
We multiply all the terms by the denominator
(20x+8)+(-21x-3)=0
We get rid of parentheses
20x-21x+8-3=0
We add all the numbers together, and all the variables
-1x+5=0
We move all terms containing x to the left, all other terms to the right
-x=-5
x=-5/-1
x=+5

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