To solve this equation for x, we need to isolate x on one side of the equation. Let's first multiply both sides by sqrt(x) to get rid of the fraction:

[tex]16 - 2x \cdot \sqrt{x} = 0[/tex]

Now, let's move the -2x√x to the other side of the equation:

[tex]16 = 2x \cdot \sqrt{x}[/tex]

Now, divide by 2 on both sides:

[tex]8 = x \cdot \sqrt{x} [/tex]

Now, square both sides:

[tex]64 = x^2[/tex]

Take the square root of both sides:

[tex]x = 8 [/tex]

Therefore, the solution to the equation is x = 8.