If x/5 + 6 = -14, what is the value of x?

To find the value of x in the equation ( \frac{x}{5} + 6 = -14 ), the first step is to isolate the term containing x. This is done by subtracting 6 from both sides of the equation, resulting in ( \frac{x}{5} = -14 - 6 ).

Calculating the right side gives ( -14 - 6 = -20 ), so now the equation simplifies to ( \frac{x}{5} = -20 ).

Next, to eliminate the fraction and solve for x, multiply both sides by 5. This yields ( x = -20 \times 5 ), which calculates to ( x = -100 ).

Thus, the solution for x is -100. This aligns with option A, making it the correct answer in this scenario.