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

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

• A. 2x + 3
• B. 6x + 3
• C. 4x - 3
• D. 6x - 3

Answer: (A)

To simplify the expression 4x + 3 - 2x, the first step is to combine the like terms. Here, the like terms are the expressions involving the variable x: 4x and -2x. Start by taking the coefficient of x from the first term, which is 4, and subtract the coefficient of x from the second term, which is -2. This calculation goes as follows: 4 - 2 = 2. So, when you combine the terms involving x, you get 2x. Next, you look at the constant term, which is +3. There are no other constant terms to combine with it, so it remains as is. Putting those results together, you have: 2x (from combining the x terms) + 3 (the constant term). Thus, the simplified form of the entire expression 4x + 3 - 2x is: 2x + 3. This is why the correct answer is the option that states 2x + 3.

To simplify the expression 4x + 3 - 2x, the first step is to combine the like terms. Here, the like terms are the expressions involving the variable x: 4x and -2x.

Start by taking the coefficient of x from the first term, which is 4, and subtract the coefficient of x from the second term, which is -2. This calculation goes as follows:

4 - 2 = 2.

So, when you combine the terms involving x, you get 2x.

Next, you look at the constant term, which is +3. There are no other constant terms to combine with it, so it remains as is.

Putting those results together, you have:

2x (from combining the x terms) + 3 (the constant term).

Thus, the simplified form of the entire expression 4x + 3 - 2x is:

2x + 3.

This is why the correct answer is the option that states 2x + 3.