(654x-10590):57=778

To solve the equation \((654x - 10590) : 57 = 778\), follow these steps: 1. **Multiply both sides by 57** to eliminate the division: \[ 654x - 10590 = 778 \times 57 \] 2. **Calculate \(778 \times 57\)**: \[ 778 \times 57 = 44346 \] So, the equation becomes: \[ 654x - 10590 = 44346 \] 3. **Add 10590 to both sides**: \[ 654x = 44346 + 10590 \] 4. **Calculate \(44346 + 10590\)**: \[ 44346 + 10590 = 54936 \] Now the equation is: \[ 654x = 54936 \] 5. **Divide both sides by 654** to solve for \(x\): \[ x = \frac{54936}{654} \] 6. **Calculate the division**: \[ x = 84 \] Thus, the solution is: \[ \boxed{84} \]