To solve for \( x \) in the equation \( \frac{6}{7}x = 12 \), follow these steps:
- Multiply both sides of the equation by the reciprocal of \( \frac{6}{7} \), which is \( \frac{7}{6} \):
\[ x = 12 \times \frac{7}{6} \]
- Now calculate the right side:
\[ x = \frac{12 \times 7}{6} \]
- Simplify \( \frac{12}{6} = 2 \):
\[ x = 2 \times 7 \]
- Finally, calculate \( 2 \times 7 \):
\[ x = 14 \]
So the solution is:
\[ \boxed{14} \]