What is the result of simplifying 3x + 4 - 2x?

Master Algebraic Simplification by combining like terms effectively. Study with engaging quizzes, detailed explanations, and various question formats. Ace your exam!

Multiple Choice

What is the result of simplifying 3x + 4 - 2x?

Explanation:
To simplify the expression \(3x + 4 - 2x\), you start by identifying the like terms in the expression. The like terms here are the terms that contain \(x\), which are \(3x\) and \(-2x\). You can combine these like terms by subtracting \(2x\) from \(3x\): \[ 3x - 2x = 1x \text{ or simply } x \] Next, you also have the constant term, which is \(4\). Since it does not have any like terms to combine it with, it remains unchanged. Putting these results together, you get: \[ x + 4 \] Thus, the result of simplifying \(3x + 4 - 2x\) is \(x + 4\). This correctly reflects the process of combining like terms and explains why the answer is accurate.

To simplify the expression (3x + 4 - 2x), you start by identifying the like terms in the expression. The like terms here are the terms that contain (x), which are (3x) and (-2x).

You can combine these like terms by subtracting (2x) from (3x):

[

3x - 2x = 1x \text{ or simply } x

]

Next, you also have the constant term, which is (4). Since it does not have any like terms to combine it with, it remains unchanged.

Putting these results together, you get:

[

x + 4

]

Thus, the result of simplifying (3x + 4 - 2x) is (x + 4). This correctly reflects the process of combining like terms and explains why the answer is accurate.

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