-9(8-9x)=4x+5

To solve the equation \(-9(8-9x)=4x+5\), we can follow these steps: 1. Distribute the \(-9\) on the left side: \[ -9 \cdot 8 + -9 \cdot -9x = -72 + 81x \] So the equation now becomes: \[ -72 + 81x = 4x + 5 \] 2. Next, we want to combine like terms by getting all terms involving \(x\) on one side and constants on the other. Let's subtract \(4x\) from both sides: \[ -72 + 81x - 4x = 5 \] This simplifies to: \[ -72 + 77x = 5 \] 3. Now, add \(72\) to both sides to isolate the term with \(x\): \[ 77x = 5 + 72 \] \[ 77x = 77 \] 4. Finally, divide both sides by \(77\): \[ x = \frac{77}{77} = 1 \] So the solution to the equation is: \[ \boxed{1} \]