Simplifying the Expression 3(2x+1)+2(x-4)
In this article, we will simplify the algebraic expression 3(2x+1)+2(x-4). To simplify this expression, we need to follow the order of operations (PEMDAS) and combine like terms.
Step 1: Evaluate the Expressions Inside the Parentheses
First, let's evaluate the expressions inside the parentheses:
3(2x+1) = 3(2x) + 3(1) = 6x + 3
2(x-4) = 2x - 8
Step 2: Combine the Two Expressions
Now, let's combine the two expressions:
6x + 3 + 2x - 8
Step 3: Combine Like Terms
Next, let's combine like terms:
8x - 5
And that's it! We have simplified the expression 3(2x+1)+2(x-4) to 8x - 5.
Conclusion
In conclusion, simplifying the expression 3(2x+1)+2(x-4) involves evaluating the expressions inside the parentheses, combining the two expressions, and finally combining like terms to get the final answer of 8x - 5.
