3x+5=X+1

To solve the equation \( 3x + 5 = x + 1 \), follow these steps:

1. Start by isolating \( x \) on one side of the equation. You can do this by subtracting \( x \) from both sides:

   \[ 3x - x + 5 = 1 \]

   This simplifies to:

   \[ 2x + 5 = 1 \]

2. Next, subtract 5 from both sides:

   \[ 2x + 5 - 5 = 1 - 5 \]

   This simplifies to:

   \[ 2x = -4 \]

3. Finally, divide both sides by 2 to solve for \( x \):

   \[ x = -2 \]

So, the solution to the equation \( 3x + 5 = x + 1 \) is

\[ \boxed{-2} \]