5х-4=х-3

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

1. Move all terms involving \( x \) to one side and constant terms to the other side. Start by subtracting \( x \) from both sides:

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

   This simplifies to:

   \[ 4x - 4 = -3 \]

2. Next, add 4 to both sides to isolate the term with \( x \):

   \[ 4x - 4 + 4 = -3 + 4 \]

   This simplifies to:

   \[ 4x = 1 \]

3. Finally, divide both sides by 4 to solve for \( x \):

   \[ x = \frac{1}{4} \]

So, the solution to the equation \( 5x - 4 = x - 3 \) is \( x = \frac{1}{4} \).