Solve the following equations:
`5x-5=3x+9`

Answer

To solve the equation \( 5x - 5 = 3x + 9 \), we will follow these steps:

### Step 1: Subtract \( 3x \) from both sides
We start with the equation:
\[ 5x - 5 = 3x + 9 \]
Now, we subtract \( 3x \) from both sides:
\[ 5x - 3x - 5 = 3x - 3x + 9 \]
This simplifies to:
\[ 2x - 5 = 9 \]

### Step 2: Add \( 5 \) to both sides
Next, we add \( 5 \) to both sides of the equation:
\[ 2x - 5 + 5 = 9 + 5 \]
This simplifies to:
\[ 2x = 14 \]

### Step 3: Divide both sides by \( 2 \)
Now, we divide both sides by \( 2 \):
\[ \frac{2x}{2} = \frac{14}{2} \]
This simplifies to:
\[ x = 7 \]

### Final Answer
The solution to the equation \( 5x - 5 = 3x + 9 \) is:
\[ \boxed{7} \]

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