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)