1/4(8+x)-5/8(2x-16)

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Jun 16, 2024

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Simplifying the Algebraic Expression: 1/4(8+x) - 5/8(2x-16)

In this article, we will simplify the algebraic expression 1/4(8+x) - 5/8(2x-16).

Step 1: Evaluate the Expressions Inside the Parentheses

First, let's evaluate the expressions inside the parentheses:

1. 1/4(8+x) = 1/4(8) + 1/4(x) = 2 + 1/4x
2. 5/8(2x-16) = 5/8(2x) - 5/8(16) = 5/4x - 10

Step 2: Simplify the Expression

Now, let's simplify the expression by combining like terms:

1/4(8+x) - 5/8(2x-16) = (2 + 1/4x) - (5/4x - 10)

Step 3: Combine Like Terms

Combine like terms:

= 2 + 1/4x - 5/4x + 10

= 2 - 4/4x + 10

= 12 - x

And that's the simplified expression!