Find the value of x in the equation: x/4 + 2 = 5.

Find the value of x in the equation: x/4 + 2 = 5.

• A. x = 8
• B. x = 16
• C. x = 12
• D. x = 20

Answer: (C)

To find the value of \( x \) in the equation \( \frac{x}{4} + 2 = 5 \), you need to isolate \( x \). Start by subtracting 2 from both sides of the equation to eliminate the constant on the left side: \[ \frac{x}{4} + 2 - 2 = 5 - 2 \] This simplifies to: \[ \frac{x}{4} = 3 \] Next, to eliminate the fraction, multiply both sides of the equation by 4: \[ 4 \cdot \frac{x}{4} = 3 \cdot 4 \] This gives you: \[ x = 12 \] Thus, the correct answer is that \( x = 12 \). This process clearly demonstrates how to manipulate the equation step by step to isolate the variable, leading you to the correct solution.

To find the value of ( x ) in the equation ( \frac{x}{4} + 2 = 5 ), you need to isolate ( x ). Start by subtracting 2 from both sides of the equation to eliminate the constant on the left side:

[

\frac{x}{4} + 2 - 2 = 5 - 2

]

This simplifies to:

[

\frac{x}{4} = 3

]

Next, to eliminate the fraction, multiply both sides of the equation by 4:

[

4 \cdot \frac{x}{4} = 3 \cdot 4

]

This gives you:

[

x = 12

]

Thus, the correct answer is that ( x = 12 ). This process clearly demonstrates how to manipulate the equation step by step to isolate the variable, leading you to the correct solution.