To solve the equation \(-9(8 - 9x) = 4x + 5\), follow these steps:
Distribute the \(-9\) on the left side:
\[ -9 \cdot 8 + 9 \cdot 9x = -72 + 81x \]
So the equation becomes:
\[ -72 + 81x = 4x + 5 \]
Next, let's move all terms involving \(x\) to one side and constant terms to the other side. First, subtract \(4x\) from both sides:
\[ -72 + 81x - 4x = 5 \]
This simplifies to:
\[ -72 + 77x = 5 \]
Now, add \(72\) to both sides:
\[ 77x = 5 + 72 \]
Which simplifies to:
\[ 77x = 77 \]
Finally, divide both sides by \(77\):
\[ x = \frac{77}{77} \]
Therefore:
\[ x = 1 \]
The solution to the equation \(-9(8 - 9x) = 4x + 5\) is \(x = 1\).