What is the result of simplifying 5x + 2 - 4x?

What is the result of simplifying 5x + 2 - 4x?

• A. x + 2
• B. x - 2
• C. 2x + 2
• D. 5x + 2

Answer: (A)

To simplify the expression \( 5x + 2 - 4x \), you need to combine like terms. The like terms in this expression are the terms that contain the variable \( x \). 1. Start with the terms involving \( x \): \( 5x \) and \( -4x \). 2. Combine these by performing the operation: \( 5x - 4x \). 3. This yields \( 1x \) or simply \( x \). 4. Next, bring down the constant term, which is \( +2 \). Putting it all together, the simplified expression becomes \( x + 2 \). This is why the correct answer is the one that states \( x + 2 \). The other options do not accurately reflect the combination of the terms as demonstrated. For instance, the expression \( x - 2 \) incorrectly subtracts from the constant, while \( 2x + 2 \) miscalculates the coefficient of \( x \), and \( 5x + 2 \) does not simplify at all.

To simplify the expression ( 5x + 2 - 4x ), you need to combine like terms. The like terms in this expression are the terms that contain the variable ( x ).

1. Start with the terms involving ( x ): ( 5x ) and ( -4x ).

2. Combine these by performing the operation: ( 5x - 4x ).

3. This yields ( 1x ) or simply ( x ).

4. Next, bring down the constant term, which is ( +2 ).

Putting it all together, the simplified expression becomes ( x + 2 ). This is why the correct answer is the one that states ( x + 2 ).

The other options do not accurately reflect the combination of the terms as demonstrated. For instance, the expression ( x - 2 ) incorrectly subtracts from the constant, while ( 2x + 2 ) miscalculates the coefficient of ( x ), and ( 5x + 2 ) does not simplify at all.