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

Respuesta :

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.