How do you simplify the expression 2(3x + 4) - 5?

How do you simplify the expression 2(3x + 4) - 5?

• A. 6x + 8
• B. 6x + 6
• C. 6x + 3
• D. 6x + 2

Answer: (C)

To simplify the expression 2(3x + 4) - 5, start by distributing the 2 into the parentheses. This means multiplying both terms inside the parentheses by 2: 2(3x) + 2(4), which simplifies to 6x + 8. Next, you have the expression 6x + 8 - 5. You can combine the numerical terms now. Subtract 5 from 8: 8 - 5 results in 3, so now you have: 6x + 3. Thus, the simplification of the expression ultimately gives you 6x + 3. This is why the answer aligns with this correction in the simplification process. Notably, other options suggest incorrect manipulations or combinations that do not follow the correct order of operations or arithmetic.

To simplify the expression 2(3x + 4) - 5, start by distributing the 2 into the parentheses. This means multiplying both terms inside the parentheses by 2:

2(3x) + 2(4), which simplifies to 6x + 8.

Next, you have the expression 6x + 8 - 5. You can combine the numerical terms now. Subtract 5 from 8:

8 - 5 results in 3, so now you have:

6x + 3.

Thus, the simplification of the expression ultimately gives you 6x + 3. This is why the answer aligns with this correction in the simplification process. Notably, other options suggest incorrect manipulations or combinations that do not follow the correct order of operations or arithmetic.