1/2(2x+1)=1/2(3+2x)

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



1/2(2x+1)=1/2(3+2x)
We move all terms to the left:
1/2(2x+1)-(1/2(3+2x))=0
Domain of the equation: 2(2x+1)!=0
x∈R
Domain of the equation: 2(3+2x))!=0
x∈R
We add all the numbers together, and all the variables
1/2(2x+1)-(1/2(2x+3))=0
We calculate fractions
(2x2/(2(2x+1)*2(2x+3)))+(-2x2/(2(2x+1)*2(2x+3)))=0
We calculate terms in parentheses: +(2x2/(2(2x+1)*2(2x+3))), so:
2x2/(2(2x+1)*2(2x+3))
We multiply all the terms by the denominator
2x2
We add all the numbers together, and all the variables
2x^2
Back to the equation:
+(2x^2)
We calculate terms in parentheses: +(-2x2/(2(2x+1)*2(2x+3))), so:
-2x2/(2(2x+1)*2(2x+3))
We multiply all the terms by the denominator
-2x2
We add all the numbers together, and all the variables
-2x^2
Back to the equation:
+(-2x^2)
We add all the numbers together, and all the variables
2x^2+(-2x^2)=0
We get rid of parentheses
2x^2-2x^2=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0

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