The solution of the given equation 5/2x - 2/3 = 1/x + 5/6 is at x = 9/11.
According to the given question.
We have an equation
5/2x -2/3 = 1/x + 5/6
Since, we have to solve the above equation for x.
Thereofore, the solution of the equation 5/2x -2/3 = 1/x + 5/6 is given by
5/2x -2/3 = 1/x + 5/6
⇒ 5/2x -1/x = 5/6 + 2/3
⇒ (5 -2) /2x = 5+ 2(3)/6
⇒ 3/2x = 11/6
⇒6(3) = 11(2x)
⇒ 18 = 22x
⇒ 18/22 = x
⇒ 9/11 = x or x = 9/11
Hence, the solution of the given equation 5/2x - 2/3 = 1/x + 5/6 is at x = 9/11.
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