To solve the equation \(-8 + \frac{x}{3} = -12\), follow these steps: 1. First, isolate the term with \(x\) on one side of the equation. Add \(8\) to both sides: \[ -8 + \frac{x}{3} + 8 = -12 + 8 \] This simplifies to: \[ \frac{x}{3} = -4 \] 2. Next, to eliminate the fraction, multiply both sides of the equation by \(3\): \[ 3 \cdot \frac{x}{3} = -4 \cdot 3 \] This simplifies to: \[ x = -12 \] So the solution is: \[ \boxed{-12} \]

-8 + x/3 = -12

1 answer

To solve the equation \(-8 + \frac{x}{3} = -12\), follow these steps:

First, isolate the term with \(x\) on one side of the equation. Add \(8\) to both sides:

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

This simplifies to:

\[ \frac{x}{3} = -4 \]
Next, to eliminate the fraction, multiply both sides of the equation by \(3\):

\[ 3 \cdot \frac{x}{3} = -4 \cdot 3 \]

This simplifies to:

\[ x = -12 \]

So the solution is:

\[ \boxed{-12} \]