(4x+3)+(3x-2) Answer

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (4x + 3) + (3x - 2)

This article will walk you through the steps involved in simplifying the algebraic expression (4x + 3) + (3x - 2).

Understanding the Expression

The expression consists of two sets of parentheses, each containing terms with variables (x) and constants:

• (4x + 3): This part has a variable term (4x) and a constant term (3).
• (3x - 2): This part also has a variable term (3x) and a constant term (-2).

Simplifying the Expression

1. Remove the parentheses: Since we are adding the two sets of parentheses, the parentheses don't affect the order of operations. We can simply remove them:

   4x + 3 + 3x - 2

2. Combine like terms: Identify the terms that have the same variable and exponent:

   • Variable terms: 4x and 3x
   • Constant terms: 3 and -2

   Combine the variable terms and the constant terms separately:

   (4x + 3x) + (3 - 2)

3. Simplify: Perform the addition and subtraction operations:

   7x + 1

The Solution

The simplified form of the expression (4x + 3) + (3x - 2) is 7x + 1.