2x-3=4x+5

To solve the equation \( 2x - 3 = 4x + 5 \), follow these steps:

1. First, move all terms involving \( x \) to one side and constant terms to the other side. Subtract \( 4x \) from both sides:

   \[ 2x - 4x - 3 = 5 \]

   This simplifies to:

   \[ -2x - 3 = 5 \]

2. Next, add \( 3 \) to both sides to isolate the term with \( x \):

   \[ -2x = 5 + 3 \]

   Which simplifies to:

   \[ -2x = 8 \]

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

   \[ x = \frac{8}{-2} = -4 \]

Thus, the solution to the equation \( 2x - 3 = 4x + 5 \) is:

\[ \boxed{-4} \]