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

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



(4x-7)/(4x+5)=2/3
We move all terms to the left:
(4x-7)/(4x+5)-(2/3)=0
Domain of the equation: (4x+5)!=0
We move all terms containing x to the left, all other terms to the right
4x!=-5
x!=-5/4
x!=-1+1/4
x∈R
We add all the numbers together, and all the variables
(4x-7)/(4x+5)-(+2/3)=0
We get rid of parentheses
(4x-7)/(4x+5)-2/3=0
We calculate fractions
(12x-21)/(12x+15)+(-8x-10)/(12x+15)=0
We multiply all the terms by the denominator
(12x-21)+(-8x-10)=0
We get rid of parentheses
12x-8x-21-10=0
We add all the numbers together, and all the variables
4x-31=0
We move all terms containing x to the left, all other terms to the right
4x=31
x=31/4
x=7+3/4

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