What is the simplified form of 8x + 2 - 3x?

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Multiple Choice

What is the simplified form of 8x + 2 - 3x?

Explanation:
To simplify the expression \(8x + 2 - 3x\), we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, the terms involving \(x\) are \(8x\) and \(-3x\). First, we identify and combine the like terms: 1. Combine \(8x\) and \(-3x\): \[ 8x - 3x = 5x \] 2. The constant term in the expression is \(+2\). Now, we can write the combined result: \[ 5x + 2 \] Therefore, the simplified form of the expression \(8x + 2 - 3x\) is \(5x + 2\). This matches the correct answer, confirming it is the appropriate simplification. By following the steps of identifying like terms and combining them systematically, we arrive at this final simplified form.

To simplify the expression (8x + 2 - 3x), we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, the terms involving (x) are (8x) and (-3x).

First, we identify and combine the like terms:

  1. Combine (8x) and (-3x):

[

8x - 3x = 5x

]

  1. The constant term in the expression is (+2).

Now, we can write the combined result:

[

5x + 2

]

Therefore, the simplified form of the expression (8x + 2 - 3x) is (5x + 2). This matches the correct answer, confirming it is the appropriate simplification. By following the steps of identifying like terms and combining them systematically, we arrive at this final simplified form.

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