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Simplifying Algebraic Expressions: (6x+1)+3(x+2)
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression (6x+1)+3(x+2).
Step 1: Evaluate the Expression Inside the Parentheses
The expression (6x+1)+3(x+2) contains two parentheses, which need to be evaluated first. Let's start by evaluating the expression inside the parentheses.
3(x+2) = 3x + 6
So, the expression becomes:
(6x+1) + 3x + 6
Step 2: Combine Like Terms
Now, let's combine like terms. A like term is a term that has the same variable (in this case, x) and coefficient.
6x + 3x = 9x
Combine the constant terms:
1 + 6 = 7
So, the simplified expression is:
9x + 7
Conclusion
The simplified expression (6x+1)+3(x+2) is 9x + 7. By following these simple steps, you can simplify algebraic expressions with ease. Remember to evaluate the expressions inside the parentheses first and then combine like terms.
