Which of the following best describes the equation below?

4 (x + 9) + 5x = 9x - 36

A. exactly one real solution, x = 14 2/5

B. exactly one real solution, x = - 1

C. no real solutions

D. infinite real solutions

4 (x + 9) + 5x = 9x - 36

=> 4x + 36 + 5x = 9x - 36

=> 9x + 36 = 9x - 36

=> 9x - 9x = - 36 - 36

=> 0 = - 72

You can see that the equation doesn't hold true.

So there is no solution for this equation.

Answer is C. no real solutions