1/2(3-t)=1/3(t+2)

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



1/2(3-t)=1/3(t+2)
We move all terms to the left:
1/2(3-t)-(1/3(t+2))=0
Domain of the equation: 2(3-t)!=0
t∈R
Domain of the equation: 3(t+2))!=0
t∈R
We add all the numbers together, and all the variables
1/2(-1t+3)-(1/3(t+2))=0
We calculate fractions
(3tt/(2(-1t+3)*3(t+2)))+(-2t0/(2(-1t+3)*3(t+2)))=0
We calculate terms in parentheses: +(3tt/(2(-1t+3)*3(t+2))), so:
3tt/(2(-1t+3)*3(t+2))
We multiply all the terms by the denominator
3tt
Back to the equation:
+(3tt)
We calculate terms in parentheses: +(-2t0/(2(-1t+3)*3(t+2))), so:
-2t0/(2(-1t+3)*3(t+2))
We multiply all the terms by the denominator
-2t0
We add all the numbers together, and all the variables
-2t
Back to the equation:
+(-2t)
We get rid of parentheses
3tt-2t=0
We add all the numbers together, and all the variables
-2t+3tt=0

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