To solve the equation \(-43x + 2 = 10\), we can follow these steps: 1. Subtract 2 from both sides of the equation: \[ -43x + 2 - 2 = 10 - 2 \] This simplifies to: \[ -43x = 8 \] 2. Next, divide both sides by \(-43\) to isolate \(x\): \[ x = \frac{8}{-43} \] This simplifies to: \[ x = -\frac{8}{43} \] So, the solution is: \[ x = -\frac{8}{43} \]