(t+3t+4)/(7-t)=12

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Solution for (t+3t+4)/(7-t)=12 equation: 



(t+3t+4)/(7-t)=12

We move all terms to the left:

(t+3t+4)/(7-t)-(12)=0



Domain of the equation: (7-t)!=0

We move all terms containing t to the left, all other terms to the right

-t!=-7

t!=-7/-1

t!=+7

t∈R



We add all the numbers together, and all the variables

(4t+4)/(-1t+7)-12=0

We multiply all the terms by the denominator


(4t+4)-12*(-1t+7)=0

We multiply parentheses

(4t+4)+12t-84=0

We get rid of parentheses

4t+12t+4-84=0

We add all the numbers together, and all the variables

16t-80=0

We move all terms containing t to the left, all other terms to the right

16t=80

t=80/16

t=5

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