-(x-1).jpeg "(5x+3)-(x-1)")
Simplifying Algebraic Expressions: (5x+3)-(x-1)
In this article, we will explore how to simplify the algebraic expression (5x+3)-(x-1). Simplifying algebraic expressions is an essential skill in mathematics, and it requires understanding the order of operations and the properties of algebraic expressions.
The Given Expression
The given expression is (5x+3)-(x-1). This expression consists of two parts: 5x+3 and x-1. To simplify this expression, we need to follow the order of operations and combine like terms.
Step 1: Evaluate the Expression Inside the Parentheses
First, let's evaluate the expression inside the parentheses. We have x-1 inside the parentheses. We can't simplify this expression further, so we move on to the next step.
Step 2: Combine Like Terms
Now, let's combine like terms. We have 5x+3 and -x+1. To combine these expressions, we need to combine the coefficients of the x terms and the constant terms.
The coefficient of the x term in 5x+3 is 5, and the coefficient of the x term in -x+1 is -1. To combine these coefficients, we add them together: 5 + (-1) = 4. So, the coefficient of the x term in the simplified expression is 4.
The constant term in 5x+3 is 3, and the constant term in -x+1 is 1. To combine these constant terms, we add them together: 3 + 1 = 4. So, the constant term in the simplified expression is 4.
The Simplified Expression
The simplified expression is 4x+4. This is the final answer.
Conclusion
In this article, we learned how to simplify the algebraic expression (5x+3)-(x-1). By following the order of operations and combining like terms, we were able to simplify the expression to 4x+4. Simplifying algebraic expressions is an essential skill in mathematics, and it requires understanding the order of operations and the properties of algebraic expressions.
