Question

Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?15x – 15 = 15x – 2415x – 5 = 15x – 2439x – 45 = 15x – 2439x – 15 = 15x – 24?

Answer 1

The equivalent equation to 3[x + 3(4x - 5)] = 15x - 24 is 39x - 45 = 15x - 24 after simplifying the left side of the original equation.

Step-by-step explanation:

The student asked which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24.

To find the equivalent equation, let's simplify the left side of the original equation:

1. Distribute the 3 inside the brackets: 3[x + 12x – 15].
2. Combine like terms inside the brackets: 3[13x – 15].
3. Distribute the 3 to both terms inside the brackets: 39x – 45.

Now, the simplified left side is 39x – 45, which means the equivalent equation is 39x – 45 = 15x – 24.