Solve for x in the equation x/3 + 1 = 5.

• A. 10
• B. 12
• C. 9
• D. 15

Answer: (B)

To solve the equation ( \frac{x}{3} + 1 = 5 ), the first step is to isolate the term involving ( x ).

Start by subtracting 1 from both sides of the equation:

[

\frac{x}{3} + 1 - 1 = 5 - 1

]

This simplifies to:

[

\frac{x}{3} = 4

]

Next, to eliminate the fraction, multiply both sides of the equation by 3:

[

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

]

This results in:

[

x = 12

]

Thus, the value of ( x ) is 12. The calculation shows that when you isolate ( x ) and solve carefully, you arrive at the correct answer of 12, confirming it satisfies the original equation. Understanding this process of isolating the variable and performing operations step-by-step is crucial in solving linear equations effectively.