To solve the equation \( 5(-2x + 3) + 3x + 4 = -23 \), first distribute the \(5\) on the left-hand side:
\[ 5(-2x) + 5(3) + 3x + 4 = -23 \]
This simplifies to:
\[ -10x + 15 + 3x + 4 = -23 \]
Now combine like terms:
\[ (-10x + 3x) + (15 + 4) = -23 \]
This gives:
\[ -7x + 19 = -23 \]
Next, isolate \(x\) by moving \(19\) to the right side:
\[ -7x = -23 - 19 \]
This simplifies to:
\[ -7x = -42 \]
Now divide both sides by \(-7\):
\[ x = \frac{-42}{-7} \]
This results in:
\[ x = 6 \]
Thus, the solution to the equation is:
\[ \boxed{6} \]