Simplifying the Expression: 5x + 6y + 7 + 3x + 2y - 2
In algebra, simplifying expressions is an essential skill that helps us to better understand and work with variables. In this article, we will simplify the expression 5x + 6y + 7 + 3x + 2y - 2.
Step 1: Combine Like Terms
To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable(s) and coefficient. In this expression, we have two like terms: 5x and 3x, and 6y and 2y.
Combine x terms:
5x + 3x = 8x
Combine y terms:
6y + 2y = 8y
Step 2: Simplify the Constant Term
Now, let's simplify the constant term. We have 7 - 2 = 5.
The Simplified Expression
Now that we have simplified each part of the expression, we can combine them to get the final answer:
8x + 8y + 5
And that's it! We have simplified the expression 5x + 6y + 7 + 3x + 2y - 2 to 8x + 8y + 5.
