The solution would be like this for this specific problem:
(2x+5)/7 = 1/x
(2x+5) x = 7
2x² + 5x - 7 = 0
( x -1) ( 2x + 7) = 0
x = 1 ( Omit x = -7/2)
I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.