What is the value of x in the equation 4x + 12 = 28?

What is the value of x in the equation 4x + 12 = 28?

• A. x = 2
• B. x = 3
• C. x = 4
• D. x = 5

Answer: (C)

To determine the value of \( x \) in the equation \( 4x + 12 = 28 \), the goal is to isolate \( x \). Here’s how you can solve this step-by-step: 1. Start with the original equation: \[ 4x + 12 = 28 \] 2. The first step is to eliminate the constant on the left side, which is \( 12 \). To do this, subtract \( 12 \) from both sides of the equation: \[ 4x + 12 - 12 = 28 - 12 \] This simplifies to: \[ 4x = 16 \] 3. Now, to isolate \( x \), divide both sides of the equation by \( 4 \): \[ \frac{4x}{4} = \frac{16}{4} \] This results in: \[ x = 4 \] Thus, the value of \( x \) that satisfies the equation is \( 4 \). This is why the correct answer is the one indicating that \( x = 4

To determine the value of ( x ) in the equation ( 4x + 12 = 28 ), the goal is to isolate ( x ). Here’s how you can solve this step-by-step:

1. Start with the original equation:

[

4x + 12 = 28

]

2. The first step is to eliminate the constant on the left side, which is ( 12 ). To do this, subtract ( 12 ) from both sides of the equation:

[

4x + 12 - 12 = 28 - 12

]

This simplifies to:

[

4x = 16

]

3. Now, to isolate ( x ), divide both sides of the equation by ( 4 ):

[

\frac{4x}{4} = \frac{16}{4}

]

This results in:

[

x = 4

]

Thus, the value of ( x ) that satisfies the equation is ( 4 ). This is why the correct answer is the one indicating that ( x = 4