Steps to solve:
-(1 + 4x) = 4(1 - x) - 5
~Distribute both sides
-1 - 4x = 4 - 4x - 5
~Combine like terms on the left side
-1 - 4x = -1 - 4x
~Add 4x to both sides
-1 = -1
~Add 1 to both sides
0 = 0
Therefore, all real numbers are solutions.
Best of Luck!