Question

1/2(x+24)=21 (distributive property) thanks

Answer 1

Hi there!

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I believe your answer is:

`(1)/(2)(x+24)=21 \rightarrow (1)/(2)x + 12 = 21\\\\x = 18`

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Here’s why:

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`(1)/(2)(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow (1)/(2)*x = (1)/(2) \\\\\rightarrow (1)/(2) * 24 = 12\\\\\rightarrow (1)/(2)x + 12 = 21\\\\\rightarrow (1)/(2)x + 12 - 12 = 21 - 12\\\\\rightarrow (1)/(2)x = 9\\\\\rightarrow ((1)/(2)x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}`

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Hope this helps you. I apologize if it’s incorrect.

Answer 2

x=18

Explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18