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0.5(4x+24)=22x-2

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Answer to a math question 0.5(4x+24)=22x-2

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Velda
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109 Answers
Solution:
1. Given equation:
- 0.5(4x + 24) = 22x - 2

2. Simplify the left side:
- Apply the distributive property: 0.5 \times 4x + 0.5 \times 24 = 22x - 2
- This gives us: 2x + 12 = 22x - 2

3. Rearrange to solve for x:
- Subtract 2x from both sides: 2x + 12 - 2x = 22x - 2 - 2x
- Simplify: 12 = 20x - 2

4. Add 2 to both sides to isolate terms:
- 12 + 2 = 20x - 2 + 2
- Simplify: 14 = 20x

5. Divide by 20 to solve for x:
- x = \frac{14}{20}
- Simplify the fraction: x = \frac{7}{10}

The solution to the equation is $x = \\frac{7}{10}$.

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