What is the combined form of the expression x + 3x - 4 + 2?

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

Multiple Choice

To simplify the expression x + 3x - 4 + 2, we begin by identifying and combining like terms.

First, we look for the terms containing the variable 'x'. These are x and 3x. When we combine these, we add their coefficients:

1 + 3 = 4.

So, x + 3x simplifies to 4x.

Next, we focus on the constant terms -4 and 2. When we combine these constants, we perform the addition:

-4 + 2 = -2.

Now, we can put the simplified parts together. The expression now reads 4x - 2.

Since we've correctly combined the like terms, the overall combined expression is 4x - 2. This is why the correct answer is the second choice.