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(2x+1)/(2x+4)=3/4
We move all terms to the left:
(2x+1)/(2x+4)-(3/4)=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+1)/(2x+4)-(+3/4)=0
We get rid of parentheses
(2x+1)/(2x+4)-3/4=0
We calculate fractions
(8x+4)/(8x+16)+(-6x-12)/(8x+16)=0
We multiply all the terms by the denominator
(8x+4)+(-6x-12)=0
We get rid of parentheses
8x-6x+4-12=0
We add all the numbers together, and all the variables
2x-8=0
We move all terms containing x to the left, all other terms to the right
2x=8
x=8/2
x=4
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