(6-t)/(2t+9)=-2

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Solution for (6-t)/(2t+9)=-2 equation: 



(6-t)/(2t+9)=-2

We move all terms to the left:

(6-t)/(2t+9)-(-2)=0



Domain of the equation: (2t+9)!=0

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

2t!=-9

t!=-9/2

t!=-4+1/2

t∈R



We add all the numbers together, and all the variables

(-1t+6)/(2t+9)-(-2)=0

We add all the numbers together, and all the variables

(-1t+6)/(2t+9)+2=0

We multiply all the terms by the denominator


(-1t+6)+2*(2t+9)=0

We multiply parentheses

(-1t+6)+4t+18=0

We get rid of parentheses

-1t+4t+6+18=0

We add all the numbers together, and all the variables

3t+24=0

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

3t=-24

t=-24/3

t=-8

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