Which equation is equivalent to 3[x + 3(4x - 5)] = 15x - 24?
15x - 15 = 15x - 24
15x - 5 = 15x - 24
39x - 45 = 15x - 24
39x - 15 = 15x - 24

Solution:

Given, the equation is 3[x + 3(4x - 5)] = 15x - 24

We have to find the equation equivalent to the given equation.

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

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

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

3[13x - 15] = 15x - 24

3(13x) + 3(-15) = 15x - 24

39x - 45 = 15x - 24

Therefore, the required equation is 39x - 45 = 15x - 24.

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

Summary:

39x - 45 = 15x - 24 is equivalent to 3[x + 3(4x - 5)] = 15x - 24.