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Question

What is the linear equation obtained by adding 7 to both sides of the equation 3x - 7 = 5x + 2 and then transposing 5x to left hand side of the equation?


A

-7 + 2 = 5x - 3x

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B

-7 - 2 = 5x + 3x

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C

-2x = 9

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D

2x = 9

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Solution

The correct option is C

-2x = 9


3x -7 = 5x + 2 is the given equation.

Result obtained after adding 7 to both sides is 3x - 7 + 7 = 5x + 2 + 7

3x = 5x + 9

Transposing 5x to left hand side

3x - 5x = 9

-2x = 9


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