Final answer:
The equation 5x - 4 + (-5x) = 180 simplifies to -4 = 180, which is not possible. Therefore, the equation has no solution.
Step-by-step explanation:
The question asks whether the equation 5x - 4 + (-5x) = 180 has a solution. To solve this, we combine like terms. The term 5x and -5x cancel each other out because they are additive inverses, leaving us with -4 = 180. It is evident that this is not true since -4 does not equal 180. Therefore, we can conclude that this equation has no solution.