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

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