Which property justifies the statement? If 5x + 2 = 2x + 11, then 5x = 2x + 9. A. transitive property. B subtraction property of equality. C. addition property of equality. D symmetric property.

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ANSWER

B. Subtraction property of equality.

EXPLANATION

The given statement is:

If 5x + 2 = 2x + 11

Then, 5x = 2x + 9

By looking at the two equations, we will notice that the action that was carried out is that 2 was subtracted from both sides of the first equation to obtain the second equation.

Therefore, we see that the property that was used is the Subtraction property of equality.