(8x-5)+(-2x+7) Simplify

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (8x - 5) + (-2x + 7)

This article will guide you through simplifying the algebraic expression (8x - 5) + (-2x + 7).

Understanding the Basics

Before we start simplifying, let's understand a few key concepts:

• Like Terms: Terms with the same variable and exponent are considered like terms. For example, 8x and -2x are like terms.
• Combining Like Terms: We can combine like terms by adding or subtracting their coefficients.

Simplifying the Expression

1. Remove the parentheses: Since we are adding the two expressions, the parentheses do not change the order of operations. We can simply rewrite the expression as:

   8x - 5 - 2x + 7

2. Identify Like Terms: We have two sets of like terms:

   • 8x and -2x
   • -5 and 7

3. Combine Like Terms:

   • 8x - 2x = 6x
   • -5 + 7 = 2

4. Write the Simplified Expression:

   • 6x + 2

Conclusion

Therefore, the simplified form of the expression (8x - 5) + (-2x + 7) is 6x + 2. Remember to always look for like terms and combine them to simplify algebraic expressions.