(3x+1)/3-(13/2)=(1-x)/3

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Solution for (3x+1)/3-(13/2)=(1-x)/3 equation:



(3x+1)/3-(13/2)=(1-x)/3
We move all terms to the left:
(3x+1)/3-(13/2)-((1-x)/3)=0
We add all the numbers together, and all the variables
(3x+1)/3-((-1x+1)/3)-(+13/2)=0
We get rid of parentheses
(3x+1)/3-((-1x+1)/3)-13/2=0
We calculate fractions
(6x+2)/()+(-((-1x+1)*2)/()+()/()=0
We calculate terms in parentheses: +(-((-1x+1)*2)/()+()/(), so:
-((-1x+1)*2)/()+()/(
We add all the numbers together, and all the variables
-((-1x+1)*2)/()+1
We multiply all the terms by the denominator
-((-1x+1)*2)+1*()
We calculate terms in parentheses: -((-1x+1)*2), so:
(-1x+1)*2
We multiply parentheses
-2x+2
Back to the equation:
-(-2x+2)
We add all the numbers together, and all the variables
-(-2x+2)
We get rid of parentheses
2x-2
Back to the equation:
+(2x-2)
We get rid of parentheses
(6x+2)/()+2x-2=0
We multiply all the terms by the denominator
(6x+2)+2x*()-2*()=0
We add all the numbers together, and all the variables
(6x+2)+2x*()=0
We get rid of parentheses
6x+2x*()+2=0
We move all terms containing x to the left, all other terms to the right
6x+2x*()=-2

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