Simplifying 3(2x + 4)
In algebra, simplifying expressions is an essential skill to master. One common expression that needs simplification is 3(2x + 4). In this article, we will break down the steps to simplify this expression.
Step 1: Follow the Order of Operations
When simplifying an expression, we need to follow the order of operations (PEMDAS):
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
In our case, we need to simplify the expression inside the parentheses first.
Step 2: Distribute the 3
To simplify the expression, we need to distribute the 3 to the terms inside the parentheses:
3(2x + 4) = 3(2x) + 3(4)
Step 3: Multiply the Terms
Now, we multiply the terms:
3(2x) = 6x 3(4) = 12
Step 4: Combine Like Terms
Finally, we combine the like terms:
6x + 12
And that's it! We have successfully simplified the expression 3(2x + 4) to 6x + 12.
