It is known that the equation of X, two-thirds x-m = x + three-thirds m and two-thirds x + 1 = 3x-2 are reciprocal to each other, and the value of M is obtained

It is known that the equation of X, two-thirds x-m = x + three-thirds m and two-thirds x + 1 = 3x-2 are reciprocal to each other, and the value of M is obtained

The title should be: given that the solutions of the equation x 2 / 2 x-m = x + 3 / M and 2x + 1 / 3 = 3x-2 are reciprocal to each other, find the value of M
Two thirds x-m = x + three thirds M
3x- 6m=6x+2m
x=-8m/3
2X + 1 = 3x-2
2X+1=9X-6
7x=7
x=1
-8m/3*1=1
m=-3/8