Final answer:
To determine which equation has a solution of x = -5, substitute x = -5 into each equation and observe if the equation holds true. Both equations A and B satisfy the condition, making option C the correct answer.
Step-by-step explanation:
To determine which of the given equations has a solution of x = -5, we can substitute x = -5 into each equation and see which equation holds true. Let's evaluate each equation:
A. 16x - 7 = 11x - 32
Substituting x = -5: 16(-5) - 7 = 11(-5) - 32 => -80 - 7 = -55 - 32 => -87 = -87
Since the equation is true, equation A has a solution of x = -5.
B. -4x - 10 = 2x + 20
Substituting x = -5: -4(-5) - 10 = 2(-5) + 20 => 20 - 10 = -10 + 20 => 10 = 10
Since the equation is true, equation B also has a solution of x = -5.
Therefore, both equation A and B have a solution of x = -5. So, the correct answer is option C. Both A and B.