(6x+3y+4)-(x+y-5)

2 min read Jun 16, 2024

Simplifying the Expression (6x+3y+4)-(x+y-5)

This article will guide you through the process of simplifying the algebraic expression (6x+3y+4)-(x+y-5).

Understanding the Problem

We have two expressions enclosed in parentheses, with a subtraction sign in between them. Our goal is to combine like terms and arrive at a simplified form.

Step 1: Distribute the Negative Sign

The subtraction sign before the second set of parentheses indicates that we need to multiply each term inside the second parentheses by -1. This gives us:

(6x+3y+4) + (-1)(x+y-5)

Simplifying further:

(6x+3y+4) -x -y +5

Step 2: Combine Like Terms

Now, identify terms with the same variable and exponent. We have:

x terms: 6x - x
y terms: 3y - y
Constant terms: 4 + 5

Combining these terms:

(6x - x) + (3y - y) + (4 + 5)

Step 3: Simplify

Performing the arithmetic:

5x + 2y + 9

Final Answer

The simplified form of the expression (6x+3y+4)-(x+y-5) is 5x + 2y + 9.