What is the combined result of the expression 2x - x + 5x?

• A. 4x
• B. 5x
• C. 6x
• D. x

Answer: (C)

To simplify the expression 2x - x + 5x, it's essential to identify and combine the like terms, which are the terms that contain the variable x.

Starting with the expression:

1. The first term is 2x.

2. The second term is -x, which can be thought of as subtracting x from the total.

3. The third term is 5x.

Now, combine these terms by adding and subtracting the coefficients:

• Start with the 2x.

• Subtract 1x (from -x), which is equivalent to decreasing the coefficient of x by 1: 2 - 1 = 1.

• Finally, add 5x to this result: 1 + 5 = 6.

Putting it all together, the combination of these terms is 6x, making the simplified expression 6x. Thus, the correct choice reflects this accurate combination of like terms.