Solve for x.

To solve the equation \(4(3x + 2) - 2x - 3 = -15\), follow these steps:

1. Distribute the \(4\) into the parentheses:
\[
4(3x) + 4(2) - 2x - 3 = -15
\]
This simplifies to:
\[
12x + 8 - 2x - 3 = -15
\]

2. Combine like terms on the left-hand side:
\[
(12x - 2x) + (8 - 3) = -15
\]
Which simplifies to:
\[
10x + 5 = -15
\]

3. Next, isolate the \(10x\) term by subtracting \(5\) from both sides:
\[
10x = -15 - 5
\]
This simplifies to:
\[
10x = -20
\]

4. Now, divide by \(10\) to solve for \(x\):
\[
x = \frac{-20}{10}
\]
Thus:
\[
x = -2
\]

The solution is:
\[
\boxed{-2}
\]