Solve algebraically for the positive value of x, x _ 0, and check: 2x+5/7=1/x

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)

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