Question

$\frac{x}{3} - 6 = -1$
a. $x = 2$
b. $x = 15$
c. $x = -3$
d. $x = -12$

Explanation:

Step1: Add 6 to both sides

To isolate the term with \( x \), we add 6 to both sides of the equation \( \frac{x}{3} - 6 = -1 \). This gives us \( \frac{x}{3} - 6 + 6 = -1 + 6 \), which simplifies to \( \frac{x}{3} = 5 \).

Step2: Multiply both sides by 3

To solve for \( x \), we multiply both sides of the equation \( \frac{x}{3} = 5 \) by 3. This gives us \( \frac{x}{3} \times 3 = 5 \times 3 \), so \( x = 15 \).

Answer:

b. \( x = 15 \)