6x-5=9-x

To solve the equation \( 6x - 5 = 9 - x \), follow these steps:

1. Add \( x \) to both sides to eliminate \( -x \) from the right side:

   \[ 6x + x - 5 = 9 \]

   Simplifying gives:

   \[ 7x - 5 = 9 \]

2. Add 5 to both sides to isolate the term with \( x \):

   \[ 7x - 5 + 5 = 9 + 5 \]

   Which simplifies to:

   \[ 7x = 14 \]

3. Divide both sides by 7 to solve for \( x \):

   \[ x = \frac{14}{7} = 2 \]

Thus, the solution is \( x = 2 \).