1/2t+4=3/2t+1

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Solution for 1/2t+4=3/2t+1 equation:



1/2t+4=3/2t+1
We move all terms to the left:
1/2t+4-(3/2t+1)=0
Domain of the equation: 2t!=0
t!=0/2
t!=0
t∈R
Domain of the equation: 2t+1)!=0
t∈R
We get rid of parentheses
1/2t-3/2t-1+4=0
We multiply all the terms by the denominator
-1*2t+4*2t+1-3=0
We add all the numbers together, and all the variables
-1*2t+4*2t-2=0
Wy multiply elements
-2t+8t-2=0
We add all the numbers together, and all the variables
6t-2=0
We move all terms containing t to the left, all other terms to the right
6t=2
t=2/6
t=1/3

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