Calculate the value

Arrange the rational expression

$2$ $\dfrac {x-2} {2x+1}=2-$ $\dfrac {2x+1} {x^{2}-1}$ 

Please provide a detailed explanation with an image of the solution! Thanks!

Solve each equation, then check. 
$12$ $\dfrac {3} {4}-\dfrac {10} {y}=\dfrac {1} {3}$ 
$14$ $\dfrac {3y-2} {2-5y}=\dfrac {1} {2}$ 
$19$ $\dfrac {x^{2}+1} {x^{2}-1}=\dfrac {1} {x+1}-\dfrac {x} {1-x}$ 
$21$ $\dfrac {3} {x-2}=\dfrac {4x-5} {2x^{2}-3x-2}+\dfrac {2} {2x+1}$ 

$IF$ $x-1$ $--$ $4$ $\dfrac {2x+1} {3}=\dfrac {1} {2}-\dfrac {x-2} {6}$ 

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