To solve for \( x \), we start with the equation:
\[ 3x + 5 = 3x - 4 \]
Next, we will subtract \( 3x \) from both sides of the equation:
\[ (3x + 5) - 3x = (3x - 4) - 3x \]
This simplifies to:
\[ 5 = -4 \]
Since \( 5 \) does not equal \( -4 \), this indicates that the original equation has no solution. Thus, there is no value of \( x \) that satisfies the equation.
In summary, the solution is:
\[ \text{No solution} \]