Given that the root of equation 2x-7 / 8 (x + a) + 1 / 6 (x-a) = 8 is four times larger than that of equation 1 / 2-x-3 / 3 = 1, find the value of A

Given that the root of equation 2x-7 / 8 (x + a) + 1 / 6 (x-a) = 8 is four times larger than that of equation 1 / 2-x-3 / 3 = 1, find the value of A

1/2-x-3/3=1
3-2(x-3)=6
3-2x+6=6
x=3/2
The root of 2x-7 / 8 (x + a) + 1 / 6 (x-a) = 8 is x = 7
Substitute x = 7 to get
14-7/8(7+a)+1/6(7-a)=8
∴a=1