Simplifying Expressions: 4x - 5 - 1/4(x+40)
In algebra, simplifying expressions is an essential skill to master. It involves combining like terms and eliminating any parentheses or fractions to express an equation in its simplest form. In this article, we will explore how to simplify the expression 4x - 5 - 1/4(x+40).
Step 1: Evaluate the Fraction
The first step is to evaluate the fraction -1/4(x+40). To do this, we need to follow the order of operations (PEMDAS):
- Distribute the negative one-quarter to the terms inside the parentheses: -1/4x - 10
So, the expression becomes:
4x - 5 - 1/4x - 10
Step 2: Combine Like Terms
Next, we need to combine like terms. In this case, we have two terms with the variable x: 4x and -1/4x. To combine them, we add their coefficients:
4x - 1/4x = 15/4x
So, the expression becomes:
15/4x - 5 - 10
Step 3: Simplify Further
We can simplify the expression further by combining the constant terms:
-5 - 10 = -15
So, the final simplified expression is:
15/4x - 15
In conclusion, simplifying the expression 4x - 5 - 1/4(x+40) involves evaluating the fraction, combining like terms, and simplifying further. By following these steps, we can express the equation in its simplest form.
