The problem is to solve for $x$ in the equation $\frac{x}{4} = 14 - \frac{x}{3}$.

1. Problem Description

The problem is to solve for $x$ in the equation $\frac{x}{4} = 14 - \frac{x}{3}$.

2. Solution Steps

First, we multiply both sides of the equation by 12 to eliminate the fractions.

$12 \cdot \frac{x}{4} = 12 \cdot (14 - \frac{x}{3})$

$3x = 12 \cdot 14 - 12 \cdot \frac{x}{3}$

$3x = 168 - 4x$

Next, we add $4x$ to both sides of the equation.

$3x + 4x = 168 - 4x + 4x$

$7x = 168$

Finally, we divide both sides of the equation by

7. $\frac{7x}{7} = \frac{168}{7}$

$x = 24$

3. Final Answer

$x = 24$