The equation has:
one solution (x = 12)
Step-by-step explanation:
First, combine the like terms:


Subtract 5x from each side:

Subtract 8 from each side:

Simplify each side:

Divide each side by -1

Hence, the equation 4x + 8 = -2 - 2 + 5x has only one solution; that solution is x = 12.