The desire to think - My best anti-solipsist argument

I think only because I desire to think.
My desires are not within my control.
Therefore I am controlled, compelled to think, by something else.
But what is that something else that pulls upon my thoughts with the string of desire.
Well let me examine another desire I have; a desire to have sex with women.
What is the root of that desire?
The root of that desire is my body.
And the same seems true of my other desires; my hunger, my thirst, my desires for air to breathe and sleep to rest are all rooted in my body.
Is my desire to think different from my bodily desires?
Well it feels identical to my bodilly desires.
All my desires, including my desire to think, feel qualitatively the same, like a feeling of need, of urgency or importance.
So, if my desire to think is different from my bodily desires it does not appear to be so.
And if I think only because I desire to think and my body is the root of my desire to think then my body is controlling my thoughts.
Something real can only be controlled by something equally real.
I know my thoughts are real so, therefore, my body must also be real.