To solve the equation \( 3(x - 2) = 3x - 7 \), we start by distributing the 3 on the left side:
\[ 3x - 6 = 3x - 7 \]
Next, we want to isolate \( x \). First, we subtract \( 3x \) from both sides:
\[ 3x - 6 - 3x = 3x - 7 - 3x \]
This simplifies to:
\[ -6 = -7 \]
Since \(-6\) does not equal \(-7\), it indicates that there is no solution for \( x \). The equation is inconsistent, which means there are no values of \( x \) that satisfy the equation.
Therefore, the solution is that the equation has no solution.