Simplify the expression 2x + 5 - x + 3.

• A. x + 8
• B. 3x + 8
• C. 2x + 3
• D. 5x + 8

Answer: (A)

To simplify the expression 2x + 5 - x + 3, begin by identifying and combining the like terms. Like terms are those that contain the same variables raised to the same powers.

In this expression, look for the terms that involve the variable x and the constant terms separately. The terms 2x and -x are both variable terms. When you combine them, you perform the operation:

2x - x = 1x, or simply x.

Next, consider the constant terms, which are 5 and 3. These are added together:

5 + 3 = 8.

Now, combine the results of the two parts. The variable part simplifies to x, while the constant part simplifies to 8. Therefore, when you put them together, you arrive at:

x + 8.

This means the simplified form of the expression is indeed x + 8, making it the correct answer.