What value does x equal in the equation (1/2)x - 3 = 1?

What value does x equal in the equation (1/2)x - 3 = 1?

• A. x = 10
• B. x = 8
• C. x = 6
• D. x = 4

Answer: (B)

To solve the equation \((1/2)x - 3 = 1\), the first step is to isolate the term containing \(x\). This can be achieved by adding 3 to both sides of the equation: \[ (1/2)x - 3 + 3 = 1 + 3 \] This simplifies to: \[ (1/2)x = 4 \] Next, to eliminate the fraction, multiply both sides of the equation by 2: \[ 2 \times (1/2)x = 2 \times 4 \] This results in: \[ x = 8 \] Thus, the correct value of \(x\) in the equation is 8, confirming that the answer aligns with the provided choice. Understanding the operations undertaken is crucial. By manipulating the equation through addition and multiplication, we can systematically isolate \(x\) and find its value, reinforcing the principles of algebraic operations.

To solve the equation ((1/2)x - 3 = 1), the first step is to isolate the term containing (x). This can be achieved by adding 3 to both sides of the equation:

[

(1/2)x - 3 + 3 = 1 + 3

]

This simplifies to:

[

(1/2)x = 4

]

Next, to eliminate the fraction, multiply both sides of the equation by 2:

[

2 \times (1/2)x = 2 \times 4

]

This results in:

[

x = 8

]

Thus, the correct value of (x) in the equation is 8, confirming that the answer aligns with the provided choice.

Understanding the operations undertaken is crucial. By manipulating the equation through addition and multiplication, we can systematically isolate (x) and find its value, reinforcing the principles of algebraic operations.