(6x-2y-5)-(-5+9y-8x)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (6x - 2y - 5) - (-5 + 9y - 8x)

This article will guide you through simplifying the expression (6x - 2y - 5) - (-5 + 9y - 8x).

Understanding the Problem

We have a subtraction problem involving two expressions:

• (6x - 2y - 5)
• (-5 + 9y - 8x)

Our goal is to combine like terms and simplify the expression.

Step-by-Step Solution

1. Distribute the negative sign: Remember that subtracting an expression is the same as adding its opposite. So, we change the minus sign in front of the second parenthesis to a plus sign and change the signs of each term inside the parenthesis.

   (6x - 2y - 5) + (5 - 9y + 8x)

2. Combine like terms: Group together terms with the same variable and constant terms.

   (6x + 8x) + (-2y - 9y) + (-5 + 5)

3. Simplify: Perform the addition or subtraction within each group.

   (14x) + (-11y) + (0)

4. Final Expression: The simplified expression is:

   14x - 11y

Conclusion

The simplified form of the expression (6x - 2y - 5) - (-5 + 9y - 8x) is 14x - 11y. By distributing the negative sign and combining like terms, we have successfully simplified the original expression.