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To solve the equation \( 23.5 - 2(x + 5) = 25x \), follow these steps:

1. Distribute the \(-2\) on the left side:
   \[
   23.5 - 2x - 10 = 25x
   \]

2. Simplify the left side:
   \[
   13.5 - 2x = 25x
   \]

3. Add \(2x\) to both sides:
   \[
   13.5 = 27x
   \]

4. Divide both sides by \(27\):
   \[
   x = \frac{13.5}{27} = \frac{1}{2} = 0.5
   \]

Thus, the value of \(x\) is \(0.5\).

Ask AI: What is the value of x if 23.5 – 2(x + 5) = 25x?

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Question: What is the value of x if 23.5 – 2(x + 5) = 25x?

Asked by wezzy

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To find the value of \( x \) in the equation \( 23.5 - 2(x + 5) = 25x \), follow these steps: Start with the equation: \[ 23.5 - 2(x + 5) = 25x \] Distribute \(-2\) inside the parentheses: \[ 23.5 - 2x - 10 = 25x \] Combine like terms on the left side: \[ 13.5 - 2x = 25x \] Move \( -2x \) to the right side by adding \( 2x \) to both sides: \[ 13.5 = 27x \] Solve for \( x \) by dividing both sides by 27: \[ x = \frac{13.5}{27} \] Simplify the fraction: \[ x = \frac{1.5}{3} = \frac{1}{2} \] So, the value of \( x \) is \( \frac{1}{2} \).

Answered by gpt-4o

Dec. 19, 2024, 5:58 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user wezzy's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
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Published: Thursday, December 19, 2024

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