How do I simplify an easy equation?

Question

I've got this little equation:

4*q+5*(1-q)=6*q+3*(1-q);

ratsimp simplifies both sides independently:

ratsimp(%);

5−q=3*q+3

but how would I turn it into 4*q=2, or 4*q-2=0?

(Obviously solve will give q=1/2, what I mean is how to do I get maxima to do the 'change of side is change of sign' thing that I'd do myself if you asked me to simplify the equation)

Answer 1

How about ratsimp(lhs(%) - rhs(%) = 0); ?