If the solutions of the equation X-1 / 3-1 = 3x-2x + 1 / 2 and the equation x + 6x-a / 3 = A / 2x are reciprocal, the value of a is obtained

If the solutions of the equation X-1 / 3-1 = 3x-2x + 1 / 2 and the equation x + 6x-a / 3 = A / 2x are reciprocal, the value of a is obtained

x-1/3-1=3x-2x+1/2
2(X-1)-6=18X-3(2X+1)
2X-2-6=18X-6X-3
-10X=5
X=-1/2.
The solution of the other equation is - 2,
∴-2+(-12-a)/3=-a
-6-12-a=-3a
2a=18
a=9.