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

Begin inside the brackets always.  Your first simplification will be to distribute the 3 into the parenthesis, resulting in this: $3[x+12x-15]=15x-24$.  We can simplify a bit more now inside the brackets like this: $3[13x-15]=15x-24$.  Now distribute the 3 to get 39x - 45 = 15x - 24.  That's your answer. The third one out of the 4 you have there.

Answer 2

The equivalent expression of 3[x + 3(4x – 5)] = (39x-15)

To find the equivalent equation.

What is equation?

Statement that the values of two mathematical expressions are equal.

The given expression is : 3[x + 3(4x – 5)]

First to simplify it. Firstly, open the brackets.

3[x + 3(4x – 5)]=3[x + 12x – 15)]

Again open the brackets,

3[x + 12x – 15)]=3x + 36x – 45)]

Now adding numbers having variables together.

3[x + 3(4x – 5)]=39x-15

So, the equivalent expression of 3[x + 3(4x – 5)] is (39x-15).

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