(x+9256)-4135=8005

To solve the equation \((x + 9256) - 4135 = 8005\), follow these steps:

1. Simplify the left side of the equation: \[ x + 9256 - 4135 = 8005 \]

2. Combine the constants on the left side: \[ x + (9256 - 4135) = 8005 \] \[ x + 5121 = 8005 \]

3. Isolate \(x\) by subtracting 5121 from both sides: \[ x = 8005 - 5121 \] \[ x = 2884 \]

Thus, the solution is: \[ \boxed{2884} \]