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What number would replace x

to show that the Associative Property of Addition is being applied (3+2)+4=x+(2+4)
?(1 point)

1 answer

To determine the value of \( x \) that shows the Associative Property of Addition is being applied in the equation \( (3+2)+4=x+(2+4) \), we can first simplify both sides of the equation.

  1. Calculate \( (3 + 2) + 4 \): \[ (3 + 2) + 4 = 5 + 4 = 9 \]

  2. Next, calculate \( 2 + 4 \): \[ 2 + 4 = 6 \]

Now, replace \( 2 + 4 \) in the equation with \( 6 \): \[ x + (2 + 4) = x + 6 \]

Now, we can rewrite the equation: \[ 9 = x + 6 \]

To find \( x \), subtract 6 from both sides: \[ x = 9 - 6 = 3 \]

Thus, the value of \( x \) that shows the Associative Property of Addition is being applied is \[ \boxed{3}. \]