Combine like terms in the expression 6x + 12 - 4x + 8.

• A. 2x + 20
• B. 10 + 2x
• C. 2x + 8
• D. 10 + 4x

Answer: (A)

To combine like terms in the expression 6x + 12 - 4x + 8, we first identify the like terms, which are the terms that contain the same variable and the constant terms.

Starting with the variable terms:

• We have 6x and -4x. When we combine these, we perform the operation:

[ 6x - 4x = 2x. ]

Next, we look at the constant terms:

• Here, we have 12 and 8. We combine these constants by adding them together:

[ 12 + 8 = 20. ]

Now we put both results together. From the variable terms, we obtained 2x, and from the constant terms, we have 20. Therefore, the combined expression is:

[ 2x + 20. ]

This confirms that the correct answer captures the combined terms properly, aligning with the simplicity of the expression. Being able to accurately combine these terms ensures a clear understanding of algebraic manipulation and helps in further simplifications and problem-solving.