5x=x^-1

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Solution for 5x=x^-1 equation: 



5x=x^-1

We move all terms to the left:

5x-(x^-1)=0

We get rid of parentheses

5x-x^+1=0

We add all the numbers together, and all the variables

4x+1=0

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

4x=-1

x=-1/4

x=-1/4

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