(9x+7)-(x+3)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (9x+7)-(x+3)

This article will guide you through the process of simplifying the expression (9x+7)-(x+3). This is a fundamental algebraic operation that involves combining like terms.

Understanding the Problem

The expression (9x+7)-(x+3) represents a subtraction of two binomials:

• (9x+7): This binomial contains the terms 9x and 7.
• (x+3): This binomial contains the terms x and 3.

Simplifying the Expression

1. Distribute the negative sign: The minus sign in front of the second binomial acts as a -1. We distribute this -1 to both terms inside the parentheses: (9x + 7) -1(x + 3)

2. Simplify: Now we multiply each term inside the second parentheses by -1: 9x + 7 -x - 3

3. Combine like terms: Identify and combine terms with the same variable (x) and terms without variables (constants): (9x - x) + (7 - 3)

4. Simplify further: Perform the arithmetic operations: 8x + 4

Final Result

Therefore, the simplified expression for (9x+7)-(x+3) is 8x + 4.