To solve the equation \(-\frac{x}{8} = 3\) for \(x\), we need to isolate \(x\) step-by-step.
1. Start with the given equation:
[tex]\[
-\frac{x}{8} = 3
\][/tex]
2. To isolate \(x\), we need to eliminate the fraction by multiplying both sides of the equation by the denominator, which is 8. However, because of the negative sign, we need to multiply both sides by \(-8\) instead of just 8.
[tex]\[
-8 \left(-\frac{x}{8}\right) = -8 \cdot 3
\][/tex]
3. Simplifying the left side of the equation:
[tex]\[
x = -24
\][/tex]
So, the solution to the equation \(-\frac{x}{8} = 3\) is:
[tex]\[
x = -24
\][/tex]
