To solve the equation \(3 - x = 3x + 5\), follow these steps:
Start by isolating the variable \(x\) on one side of the equation. You can do this by adding \(x\) to both sides:
\[ 3 - x + x = 3x + 5 + x \]
This simplifies to:
\[ 3 = 4x + 5 \]
Next, subtract \(5\) from both sides to move the constant terms:
\[ 3 - 5 = 4x + 5 - 5 \]
This simplifies to:
\[ -2 = 4x \]
Now, divide both sides by \(4\) to solve for \(x\):
\[ x = \frac{-2}{4} \]
Simplifying gives:
\[ x = -\frac{1}{2} \]
So the solution to the equation \(3 - x = 3x + 5\) is \(x = -\frac{1}{2}\).
