5^(x)+5^(-X-1)=6/5

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Solution for 5^(x)+5^(-X-1)=6/5 equation: 



5^(x)+5^(-x-1)=6/5

We move all terms to the left:

5^(x)+5^(-x-1)-(6/5)=0

We add all the numbers together, and all the variables

5^x+5^(-1x-1)-(+6/5)=0

We get rid of parentheses

5^x+5^(-1x-1)-6/5=0

We multiply all the terms by the denominator


5^x*5+(5^(-1x-1))*5-6=0

Wy multiply elements

25x+(5^(-1x-1))*5-6=0

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

25x+(5^(-1x-1))*5=6

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