Solve : `5x-6 = 9`

Answer

To solve the equation \(5x - 6 = 9\), we will follow these steps:

### Step 1: Add 6 to both sides
We start with the equation:
\[ 5x - 6 = 9 \]
To eliminate the \(-6\) on the left side, we add \(6\) to both sides of the equation:
\[ 5x - 6 + 6 = 9 + 6 \]

### Step 2: Simplify both sides
Now, simplify both sides:
\[ 5x = 15 \]

### Step 3: Divide both sides by 5
Next, we need to isolate \(x\). We do this by dividing both sides of the equation by \(5\):
\[ \frac{5x}{5} = \frac{15}{5} \]

### Step 4: Simplify to find \(x\)
Now, simplify:
\[ x = 3 \]

### Final Answer
Thus, the solution to the equation \(5x - 6 = 9\) is:
\[ \boxed{3} \]

---