6(x-1)=10

Решение:

1. \[ 6(x - 1) = 10 \]
2. \[ x - 1 = \frac{10}{6} \]
3. \[ x - 1 = \frac{5}{3} \]
4. \[ x = \frac{5}{3} + 1 \]
5. \[ x = \frac{5}{3} + \frac{3}{3} \]
6. \[ x = \frac{8}{3} \]

Ответ: \(\frac{8}{3}\)