9x − 8 = 4x + 12;

To solve the equation \(9x - 8 = 4x + 12\), follow these steps:

1. Isolate the variable: Start by getting all the terms involving \(x\) on one side and the constants on the other side. Subtract \(4x\) from both sides:

   \[ 9x - 4x - 8 = 12 \]

   Simplifying this gives:

   \[ 5x - 8 = 12 \]

2. Add 8 to both sides to isolate the term with \(x\):

   \[ 5x - 8 + 8 = 12 + 8 \]

   This simplifies to:

   \[ 5x = 20 \]

3. Divide by 5 to solve for \(x\):

   \[ x = \frac{20}{5} \]

   Simplifying gives:

   \[ x = 4 \]

So, the solution to the equation \(9x - 8 = 4x + 12\) is \(x = 4\).