(7х-24):13+71=74

To solve the equation \((7x - 24)/13 + 71 = 74\), we can follow these steps:

1. Isolate the fraction: \[ (7x - 24)/13 = 74 - 71 \] \[ (7x - 24)/13 = 3 \]

2. Eliminate the fraction by multiplying both sides by 13: \[ 7x - 24 = 3 \times 13 \] \[ 7x - 24 = 39 \]

3. Add 24 to both sides to isolate \(7x\): \[ 7x = 39 + 24 \] \[ 7x = 63 \]

4. Divide both sides by 7: \[ x = 63 / 7 \] \[ x = 9 \]

Thus, the solution to the equation is \(x = 9\).