(t+3)/(t-7)-(t-7)/(t+3)=5/6

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Solution for (t+3)/(t-7)-(t-7)/(t+3)=5/6 equation: 



(t+3)/(t-7)-(t-7)/(t+3)=5/6

We move all terms to the left:

(t+3)/(t-7)-(t-7)/(t+3)-(5/6)=0



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

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

t!=7

t∈R





Domain of the equation: (t+3)!=0

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

t!=-3

t∈R



We add all the numbers together, and all the variables

(t+3)/(t-7)-(t-7)/(t+3)-(+5/6)=0

We get rid of parentheses

(t+3)/(t-7)-(t-7)/(t+3)-5/6=0

We calculate fractions


((t+3)*(t+3)*6)/((t-7)*(t+3)*6)+(-(t-7)*(t-7)*6)/((t-7)*(t+3)*6)+(-5*(t-7)*(t+3))/((t-7)*(t+3)*6)=0



We calculate terms in parentheses: +((t+3)*(t+3)*6)/((t-7)*(t+3)*6), so:

(t+3)*(t+3)*6)/((t-7)*(t+3)*6

We multiply all the terms by the denominator


(t+3)*(t+3)*6)

Back to the equation:

+((t+3)*(t+3)*6))





We calculate terms in parentheses: +(-(t-7)*(t-7)*6)/((t-7)*(t+3)*6), so:

-(t-7)*(t-7)*6)/((t-7)*(t+3)*6

We multiply all the terms by the denominator


-(t-7)*(t-7)*6)

Back to the equation:

+(-(t-7)*(t-7)*6))





We calculate terms in parentheses: +(-5*(t-7)*(t+3))/((t-7)*(t+3)*6), so:

-5*(t-7)*(t+3))/((t-7)*(t+3)*6

We multiply all the terms by the denominator


-5*(t-7)*(t+3))

Back to the equation:

+(-5*(t-7)*(t+3)))



We add all the numbers together, and all the variables

((t+3)*(t+3)*6))+(-(t-7)*(t-7)*6))+(-5*(t-7)*(t=0

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