Question

The steps taken to correctly solve an equation are shown below, but one step is missing. -2(x-3)=-6(x + 4) -2x+6=-6x - 24 ? 4x = -30 x = -7.5 Which set of statements shows the equation that is most likely the missing step and the property that justifies the missing step? 4x-6=24 AThis step is justified by the multiplicative property of equality

4×+6=-24B This step is justified by the additive property of equality.
4×+6=-24 CThis step is justified by the multiplicative property of equality.
4×-6=24 DThis step is justified by the additive property of equality​

Answer 1

The missing step is 4x + 6 = -24. This step is justified by the additive property of equality. So the correct answer is B)

Explanation:

The missing step in the given equation is 4x + 6 = -24. This step is justified by the additive property of equality. The additive property of equality states that if we add the same value to both sides of an equation, the equality remains true. In this case, 6 is added to both sides of the equation to isolate the term "4x" on the left side and move the constant term to the right side. Therefore, the correct answer is B: "4x + 6 = -24. This step is justified by the additive property of equality."