The solution to the given equation is x = -1. Thus, the answer is option B exactly one solution.
How to determine the number of solutions for the equation
To determine the number of solutions for the equation 3(x + 5) = -4x + 8, simplify and solve it:
Distribute the 3 on the left side of the equation:
3x + 15 = -4x + 8
Combine like terms:
3x + 4x = 8 - 15
7x = -7
Divide both sides of the equation by 7 to isolate the variable x:
x = -1
Now, we have found a solution for the equation, which is x = -1.
Since we have found exactly one solution, the answer is (b) exactly one solution.