Answer
$$x=-10$$
Work Step by Step
$$\frac{2x+5}{2}-\frac{3x}{x-2}=x$$
$$((2)(x-2))(\frac{2x+5}{2}-\frac{3x}{x-2})=x((2)(x-2))$$
$$(2x+5)(x-2)-3x(2)=x(2)(x-2)$$
$$2x^2-4x+5x-10-6x=2x^2-4x$$
$$2x^2-5x-10=2x^2-4x$$
$$-5x-10=-4x$$
$$-10=x$$
$$x=-10$$
