Solve the following equation for x.

1/3x - 4 = -12

1 answer

To solve the equation \( \frac{1}{3}x - 4 = -12 \), follow these steps:

  1. Add 4 to both sides of the equation to isolate the term with \( x \):

    \[ \frac{1}{3}x - 4 + 4 = -12 + 4 \] \[ \frac{1}{3}x = -8 \]

  2. Multiply both sides by 3 to eliminate the fraction:

    \[ 3 \cdot \frac{1}{3}x = 3 \cdot (-8) \] \[ x = -24 \]

Thus, the solution to the equation is

\[ \boxed{-24} \]