#### Answer

The solution is $x=-10$

#### Work Step by Step

$\dfrac{2x+5}{2}-\dfrac{3x}{x-2}=x$
Multiply the whole equation by $2(x-2)$:
$2(x-2)\Big(\dfrac{2x+5}{2}-\dfrac{3x}{x-2}=x\Big)$
$(2x+5)(x-2)-3x(2)=2x(x-2)$
Evaluate the products indicated and simplify the equation:
$2x^{2}+x-10-6x=2x^{2}-4x$
$2x^{2}+x-10-6x-2x^{2}+4x=0$
$-x-10=0$
Solve for $x$:
$-x=10$
$x=-10$