What is the X and Y intercept of 8 (4+x) - 3=12 (x+y) + 5

Lets get this into y-intercept form first, which is y = mx+b:

8 (4+x) - 3 = 12 (x+y) + 5

32+8x-3 = 12x+12y+5

-4x+24 = 12y

-1/3x+2 = y or y = - 1/3x + 2

X intercept:

0 = - 1/3x + 2

-2 = - 1/3x

6 = x

X intercept is (6,0)

Y intercept:

y = - 1/3 (0) + 2

y = 2

Y intercept is (0,2)