Solve the following.
`3x+5=13-x`

Answer

To solve the equation \(3x + 5 = 13 - x\), we will follow these steps:

### Step 1: Write down the equation.
The original equation is:
\[ 3x + 5 = 13 - x \]

### Step 2: Move all terms involving \(x\) to one side.
To do this, we will add \(x\) to both sides of the equation:
\[ 3x + x + 5 = 13 \]
This simplifies to:
\[ 4x + 5 = 13 \]

### Step 3: Move the constant term to the other side.
Next, we will subtract \(5\) from both sides of the equation:
\[ 4x + 5 - 5 = 13 - 5 \]
This simplifies to:
\[ 4x = 8 \]

### Step 4: Solve for \(x\).
Now, we will divide both sides by \(4\):
\[ x = \frac{8}{4} \]
This simplifies to:
\[ x = 2 \]

### Final Answer:
The solution to the equation \(3x + 5 = 13 - x\) is:
\[ x = 2 \]

---