Final answer:
The original expression 3(4x+2)−4x−2 simplifies to 8x+4 after distributing the multiplication across the terms inside the parentheses and combining like terms.
Step-by-step explanation:
Simplifying Mathematical Expression
To simplify the given expression 3(4x+2)−4x−2, we need to distribute the 3 and combine like terms. Starting with the distribution, we multiply 3 by each term inside the parentheses:
3 × 4x = 12x
3 × 2 = 6
Now, we rewrite the expression with the distributed terms:
12x + 6 − 4x − 2
Next, we combine like terms by subtracting the coefficients of x terms and then the constant terms:
12x − 4x = 8x
6 − 2 = 4
The simplified form of the expression is:
8x + 4
This process involves basic operations such as distribution and combining like terms, which is fundamental in algebra.