Question: Solve for $x$.
$$-\frac{6}{7} = \frac{12}{x}$$
1. **State the problem:** Solve for $x$ in the equation $$-\frac{6}{7} = \frac{12}{x}$$.
2. **Use the cross multiplication method:** When two fractions are equal, their cross products are equal. So,
$$-6 \times x = 7 \times 12$$
3. **Write the equation:**
$$-6x = 84$$
4. **Solve for $x$ by dividing both sides by $-6$:**
$$x = \frac{84}{-6}$$
5. **Simplify the fraction:**
$$x = \frac{\cancel{84}^{14}}{\cancel{-6}^{-1}} = -14$$
6. **Final answer:**
$$x = -14$$