What is the result of simplifying the expression: 6x + 2x - 4x + 5?

• A. 4x + 5
• B. 8x + 5
• C. 2x + 5
• D. 5x + 5

Answer: (C)

To simplify the expression 6x + 2x - 4x + 5, the first step is to combine the like terms, which are the terms that have the variable x.

Start by adding the coefficients of the terms involving x:

1. The first term is 6x.

2. The second term is 2x.

3. The third term is -4x (note that this term subtracts from the total).

Now, combine these terms:

6x + 2x = 8x.

Next, subtract the -4x:

8x - 4x = 4x.

Now we have simplified all the x terms down to 4x.

The constant term in the expression is +5, which remains unchanged as it does not combine with any other constant.

Putting it all together, the simplified expression is 4x + 5.

This reasoning leads to the conclusion that the result of simplifying the expression is 4x + 5, which corresponds to the first option. The other choices do not correctly reflect the combination of like terms in the original expression, either by over-counting or misleading coefficients.