What is the result of simplifying 5x - 2 + 3x?

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Multiple Choice

What is the result of simplifying 5x - 2 + 3x?

Explanation:
To simplify the expression 5x - 2 + 3x, you start by identifying and combining like terms. The like terms in this case are the terms that contain the variable x, which are 5x and 3x. When you combine these coefficients: - You add the coefficients: 5 + 3 = 8. This gives you 8x. Next, you look at the constant term, which is -2. Since there are no other constant terms to combine with, it remains -2. Putting it all together, you get: 8x - 2. This matches the correct choice, which simplifies and consolidates all terms appropriately, showing a clear understanding of combining like terms in algebra.

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

When you combine these coefficients:

  • You add the coefficients: 5 + 3 = 8.

This gives you 8x.

Next, you look at the constant term, which is -2. Since there are no other constant terms to combine with, it remains -2.

Putting it all together, you get:

8x - 2.

This matches the correct choice, which simplifies and consolidates all terms appropriately, showing a clear understanding of combining like terms in algebra.

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