-x-4+5(x+3) =5(-1-x)-2.

To solve the equation \(-x - 4 + 5(x + 3) = 5(-1 - x) - 2\), we'll first simplify both sides step by step.

1. Simplify the left side: \[ -x - 4 + 5(x + 3) = -x - 4 + 5x + 15 \] Combine like terms: \[ (-x + 5x) + (-4 + 15) = 4x + 11 \]

2. Simplify the right side: \[ 5(-1 - x) - 2 = -5 - 5x - 2 \] Combine like terms: \[ -5 - 2 - 5x = -7 - 5x \]

Now we have the simplified equation: \[ 4x + 11 = -7 - 5x \]

3. Now, we will solve for \(x\). Start by adding \(5x\) to both sides: \[ 4x + 5x + 11 = -7 - 5x + 5x \] This simplifies to: \[ 9x + 11 = -7 \]

4. Next, subtract \(11\) from both sides: \[ 9x + 11 - 11 = -7 - 11 \] Simplifying gives: \[ 9x = -18 \]

5. Finally, divide both sides by \(9\): \[ x = \frac{-18}{9} = -2 \]

So, the solution is: \[ \boxed{-2} \]