Simplifying Algebraic Expressions: (2x + 3 2/5) + (5x - 4/5)
This article will guide you through simplifying the algebraic expression (2x + 3 2/5) + (5x - 4/5).
Understanding the Expression
The expression consists of two terms, each containing a variable (x) and a constant term:
- (2x + 3 2/5): Here, 2x is a variable term, and 3 2/5 is a constant term.
- (5x - 4/5): Here, 5x is a variable term, and -4/5 is a constant term.
Simplifying the Expression
To simplify the expression, we need to combine like terms:
- Combine x terms: 2x + 5x = 7x
- Combine constant terms: 3 2/5 - 4/5 = 3 - 1/5 = 2 4/5
Final Result
Therefore, the simplified expression is: 7x + 2 4/5