(3x-7)/(2x+11)=4/3

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Solution for (3x-7)/(2x+11)=4/3 equation:



(3x-7)/(2x+11)=4/3
We move all terms to the left:
(3x-7)/(2x+11)-(4/3)=0
Domain of the equation: (2x+11)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-11
x!=-11/2
x!=-5+1/2
x∈R
We add all the numbers together, and all the variables
(3x-7)/(2x+11)-(+4/3)=0
We get rid of parentheses
(3x-7)/(2x+11)-4/3=0
We calculate fractions
(9x-21)/(6x+33)+(-8x-44)/(6x+33)=0
We multiply all the terms by the denominator
(9x-21)+(-8x-44)=0
We get rid of parentheses
9x-8x-21-44=0
We add all the numbers together, and all the variables
x-65=0
We move all terms containing x to the left, all other terms to the right
x=65

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