Find the equation of the line that is the perpendicular bisector of the segment joining the points (2,1) and (6,7). Write answer in the form Ax+By+C = 0.

I found the slope of the given points to be 3/2.

I then found the midpoint of the two given points to be (4,4).

I then calculated the slope of the perpendicular bisector to be -2/3.

I then plugged (-2/3) and the midpoint (4,4) into the point-slope formula and ended up with the equation y = (-2/3)x + (20/3).

I finally expressed the above equation as (2/3)x + y - (20/3) = 0.

The book's answer is

2x + 3y - 20 = 0

What are the right steps to find the equation given as the answer in the book?