(x+10)+x+9 And 2(x+7)+5 Are They Equivalent

Jasonbradley

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Jun 16, 2024

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Are (x+10)+x+9 and 2(x+7)+5 Equivalent?

Let's explore whether the expressions (x+10)+x+9 and 2(x+7)+5 are equivalent. To determine this, we need to simplify both expressions and see if they result in the same outcome.

Simplifying the Expressions

1. (x+10)+x+9

• Combine like terms:
  • x + x = 2x
  • 10 + 9 = 19
• Simplified expression: 2x + 19

2. 2(x+7)+5

• Distribute the 2:
  • 2 * x = 2x
  • 2 * 7 = 14
• Combine like terms:
  • 14 + 5 = 19
• Simplified expression: 2x + 19

Conclusion

After simplifying both expressions, we find that they both result in 2x + 19. Therefore, the expressions (x+10)+x+9 and 2(x+7)+5 are equivalent.