To solve this equation, we need to first simplify the left side:

9x - 2(-5 + 7x) = -8x - 5
9x + 10 - 14x = -8x - 5
-5x + 10 = -8x - 5

Next, we will isolate the variable on one side of the equation:

-5x + 10 = -8x - 5
Add 8x to both sides:
3x + 10 = -5
Subtract 10 from both sides:
3x = -15
Divide by 3:
x = -5

Therefore, the solution to the equation is x = -5.