We are given the equation $\frac{3x}{2} = \frac{x-1}{7}$ and need to solve for $x$.

1. Problem Description

We are given the equation $\frac{3x}{2} = \frac{x-1}{7}$ and need to solve for $x$.

2. Solution Steps

To solve the equation $\frac{3x}{2} = \frac{x-1}{7}$, we can start by cross-multiplying.

$7(3x) = 2(x-1)$

Simplify both sides of the equation:

$21x = 2x - 2$

Subtract $2x$ from both sides of the equation:

$21x - 2x = 2x - 2 - 2x$

$19x = -2$

Divide both sides by 19 to isolate $x$:

$x = \frac{-2}{19}$

3. Final Answer

$x = -\frac{2}{19}$