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5. Which of the following shows the equation after the variables have been collected on the left
and the constants have been collected on the right?
-2x + 13 = -7x + 28
1
A. -9x = 15
B. 5x = 15
C. 5x = 41
D. -9x = 41
i
OManeuvering the Middle LLC, 2017

1 Answer

6 votes

Final answer:

To collect the variables on the left side and the constants on the right side, rearrange the equation by adding or subtracting the terms.


Step-by-step explanation:

To collect the variables on the left side and the constants on the right side of the equation, we can rearrange the given equation:

-2x + 13 = -7x + 28

To move the -7x to the left side, we can add 7x to both sides:

-2x + 7x + 13 = -7x + 7x + 28

This simplifies to:

5x + 13 = 28

To move the 13 to the right side, we can subtract 13 from both sides:

5x + 13 - 13 = 28 - 13

This simplifies to:

5x = 15

So the correct equation after rearranging the variables and constants is 5x = 15.


Learn more about Rearranging equations

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