Which equation is equivalent to 3[x + 3 (4x - 5) ] = 15x - 24?

a. 15x - 15 = 15x - 24

b. 15x - 5 = 15x - 24

c. 39x - 45 = 15x - 24

d. 39x - 15 = 15x - 24

3[x + 3 (4x - 5) ] = 15x - 24

3x + 12x - 15 = 15x - 24

15x - 15 = 15x - 24

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.