1/2(2x-6) 2/3(x-4)

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Jun 16, 2024

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Simplifying Algebraic Expressions: 1/2(2x-6) and 2/3(x-4)

In algebra, simplifying expressions is an essential skill to master. In this article, we will simplify two algebraic expressions: 1/2(2x-6) and 2/3(x-4).

Simplifying 1/2(2x-6)

To simplify the expression 1/2(2x-6), we need to follow the order of operations (PEMDAS):

1. Distribute the 1/2 to the terms inside the parentheses:

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

2. Multiply 1/2 by each term:

x - 3

So, the simplified form of 1/2(2x-6) is x - 3.

Simplifying 2/3(x-4)

To simplify the expression 2/3(x-4), we will also follow the order of operations (PEMDAS):

1. Distribute the 2/3 to the terms inside the parentheses:

2/3(x) - 2/3(4)

2. Multiply 2/3 by each term:

2x/3 - 8/3

So, the simplified form of 2/3(x-4) is 2x/3 - 8/3.

Conclusion

In this article, we have simplified two algebraic expressions: 1/2(2x-6) and 2/3(x-4). By following the order of operations and distributing the coefficients to the terms inside the parentheses, we were able to simplify the expressions to x - 3 and 2x/3 - 8/3, respectively. Simplifying algebraic expressions is an essential skill in algebra, and with practice, you can become proficient in simplifying complex expressions.