Solve the equation $\frac{2x}{3} = \frac{3}{7}$ for $x$.

1. Problem Description

Solve the equation $\frac{2x}{3} = \frac{3}{7}$ for $x$.

2. Solution Steps

The given equation is:

$\frac{2x}{3} = \frac{3}{7}$

To solve for $x$, we need to isolate $x$ on one side of the equation.

Multiply both sides of the equation by 3:

$3 \cdot \frac{2x}{3} = 3 \cdot \frac{3}{7}$

$2x = \frac{9}{7}$

Now, divide both sides by 2:

$\frac{2x}{2} = \frac{9}{7} \div 2$

$x = \frac{9}{7} \cdot \frac{1}{2}$

$x = \frac{9}{14}$

3. Final Answer

$x = \frac{9}{14}$