To know the equation that is equivalent to 3[x + 3(4x – 5)] = 15x – 24, we need to simplify the equation. This is done by distributing all that needs to be distributed outside the parentheses.
3[x + 3(4x – 5)] = 15x – 24
3[x + (12x – 15)] = 15x – 24
3[x + 12x – 15] = 15x – 24
3[13x – 15] = 15x – 24
39x - 45 = 15x – 24
Therefore, the correct answer is option C.