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4 votes
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
This step is justified by the additive property of equality

4x-6=24

This step is justified by the multiplicative property of equality

4x+6=-24
This step is justified by the multiplicative property of equality.

4x+6=-24
This step is justified by the additive property of equality.

1 Answer

3 votes

Answer:

Explanation:

-2(x-3)=-6(x+4) [Original Equation]

-2x+6=-6x-24 [remove the parentheses]

? -2x+6x+6 =-24 [add 6x to both sides]

4x + 6 = -24 [combine like terms]

-2x+6x+6=-6x-24+6x [Add 6x to both sides]

4x+6x+6=-6x-24+6x

-2x+6x+6=-24 [Add 6x and subtract 6 from both sides]

4x + 6 = -24 [This step is justified by the additive property of equality.]

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

This step is justified by the additive property of equality

4x-6=24

This step is justified by the multiplicative property of equality

4x+6=-24

This step is justified by the multiplicative property of equality.

The correct answer is:

4x+6=-24

This step is justified by the additive property of equality.

User FlintZA
by
8.1k points

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