Solve for x: 8x + 2 = 46

Solve for x: 8x + 2 = 46

• A. 4.25
• B. 5.5
• C. 6.0
• D. 8.0

Answer: (A)

To solve the equation \(8x + 2 = 46\), the first step is to isolate the term involving \(x\). Start by subtracting 2 from both sides of the equation: \[ 8x + 2 - 2 = 46 - 2 \] This simplifies to: \[ 8x = 44 \] Next, to find the value of \(x\), divide both sides by 8: \[ x = \frac{44}{8} \] This can be simplified by dividing both the numerator and the denominator by 4: \[ x = \frac{11}{2} = 5.5 \] Thus, the correct answer is the value of \(x\), which is 5.5. This shows the steps of isolating \(x\) correctly by maintaining the balance of the equation through subtraction and division. Consequently, the correct option provides a proper solution to the equation, illustrating an understanding of solving linear equations through basic algebraic operations.

To solve the equation (8x + 2 = 46), the first step is to isolate the term involving (x). Start by subtracting 2 from both sides of the equation:

[

8x + 2 - 2 = 46 - 2

]

This simplifies to:

[

8x = 44

]

Next, to find the value of (x), divide both sides by 8:

[

x = \frac{44}{8}

]

This can be simplified by dividing both the numerator and the denominator by 4:

[

x = \frac{11}{2} = 5.5

]

Thus, the correct answer is the value of (x), which is 5.5. This shows the steps of isolating (x) correctly by maintaining the balance of the equation through subtraction and division.

Consequently, the correct option provides a proper solution to the equation, illustrating an understanding of solving linear equations through basic algebraic operations.