20 - (4x + 4) = 4x + 1 - 8x
Pretend that there is a -1 in front of the bracket
20-1(4x+4)=4x+1-8x
20-4x-4=4x+1-8x
20-4-4x=4x-8x+1
16-4x=-4x+1
Move -4x to the left side. Sign changes from -4x to +4x.
Move +16 to the other side. Sign changes from +16 to -16.
16-16-4x+4x=-4x+4x+1-16
0=-15
Answer: no solution