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(3+6x)-2(x+1)+5

2 min read Jun 16, 2024
(3+6x)-2(x+1)+5

Simplifying Algebraic Expressions: (3+6x)-2(x+1)+5

This article will guide you through the process of simplifying the algebraic expression (3+6x)-2(x+1)+5.

Understanding the Steps

Simplifying an algebraic expression involves combining like terms and removing parentheses. Here's a breakdown of the steps:

  1. Distribute: Begin by distributing the -2 outside the parentheses: (3 + 6x) - 2(x + 1) + 5 = 3 + 6x - 2x - 2 + 5

  2. Combine Like Terms: Identify terms with the same variable and those without variables (constants). Combine them: 3 + 6x - 2x - 2 + 5 = (6x - 2x) + (3 - 2 + 5)

  3. Simplify: Perform the addition and subtraction: (6x - 2x) + (3 - 2 + 5) = 4x + 6

The Simplified Expression

Therefore, the simplified form of the expression (3+6x)-2(x+1)+5 is 4x + 6.

Key Points to Remember

  • Always follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
  • Remember that distributive property applies to both positive and negative signs outside the parentheses.
  • Combine like terms carefully, ensuring you add/subtract their coefficients correctly.

By understanding and applying these steps, you can effectively simplify any algebraic expression.

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