What is the simplified form of 5x - 2 + 3x?

What is the simplified form of 5x - 2 + 3x?

• A. 8x - 2
• B. 2x - 2
• C. 5x + 3
• D. 15x

Answer: (A)

To simplify the expression 5x - 2 + 3x, you start by identifying and combining like terms. The like terms in this expression are the terms that contain the variable x. Here, 5x and 3x are the like terms. First, add the coefficients of the like terms together: 5x + 3x = (5 + 3)x = 8x. Next, the term -2 remains unchanged since it does not have any like terms to combine with it. Therefore, when you put it all together, the expression becomes: 8x - 2. This is the simplified form of the original expression. The correct choice reflects this proper combination of terms.

To simplify the expression 5x - 2 + 3x, you start by identifying and combining like terms. The like terms in this expression are the terms that contain the variable x. Here, 5x and 3x are the like terms.

First, add the coefficients of the like terms together:

5x + 3x = (5 + 3)x = 8x.

Next, the term -2 remains unchanged since it does not have any like terms to combine with it.

Therefore, when you put it all together, the expression becomes:

8x - 2.

This is the simplified form of the original expression. The correct choice reflects this proper combination of terms.