1/2(3x-6) 2/3(2x-3)

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Jun 16, 2024

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Simplifying Algebraic Expressions: 1/2(3x-6) and 2/3(2x-3)

In algebra, simplifying expressions is an essential skill that helps us to better understand and work with mathematical equations. In this article, we will explore how to simplify two algebraic expressions: 1/2(3x-6) and 2/3(2x-3).

Simplifying 1/2(3x-6)

To simplify this expression, we need to follow the order of operations (PEMDAS):

• Multiply the terms inside the parentheses by 1/2:
  • 1/2(3x) = 3x/2
  • 1/2(-6) = -3
• Combine like terms:
  • 3x/2 - 3

So, the simplified expression is 3x/2 - 3.

Simplifying 2/3(2x-3)

To simplify this expression, we again follow the order of operations:

• Multiply the terms inside the parentheses by 2/3:
  • 2/3(2x) = 4x/3
  • 2/3(-3) = -2
• Combine like terms:
  • 4x/3 - 2

So, the simplified expression is 4x/3 - 2.

Conclusion

In this article, we have simplified two algebraic expressions: 1/2(3x-6) and 2/3(2x-3). By following the order of operations and multiplying the terms inside the parentheses, we were able to simplify the expressions to 3x/2 - 3 and 4x/3 - 2, respectively.