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(2x-7)/(2x+4)=2/3
We move all terms to the left:
(2x-7)/(2x+4)-(2/3)=0
Domain of the equation: (2x+4)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
2x!=-4
x!=-4/2
x!=-2
x∈R
(2x-7)/(2x+4)-(+2/3)=0
We get rid of parentheses
(2x-7)/(2x+4)-2/3=0
We calculate fractions
(6x-21)/(6x+12)+(-4x-8)/(6x+12)=0
We multiply all the terms by the denominator
(6x-21)+(-4x-8)=0
We get rid of parentheses
6x-4x-21-8=0
We add all the numbers together, and all the variables
2x-29=0
We move all terms containing x to the left, all other terms to the right
2x=29
x=29/2
x=14+1/2
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