Решите уравнение 10 10/17-(x+1 8/17) равно 8 9/17

[latex]10 \frac{10}{17} - (x+ 1 \frac{8}{17} ) = 8 \frac{9}{17} \\ \\ 10 \frac{10}{17} - x- 1 \frac{8}{17} = 8 \frac{9}{17} \\ \\ 9 \frac{2}{17} -x= 8 \frac{9}{17} \\ \\ x=9 \frac{2}{17} -8 \frac{9}{17} \\ \\ x= \frac{10}{17} [/latex] Проверим: [latex]10 \frac{10}{17} - ( \frac{10}{17} + 1 \frac{8}{17} ) = 8 \frac{9}{17} \\ \\ 10 \frac{10}{17} - 2 \frac{1}{17} = 8 \frac{9}{17} \\ \\ 8 \frac{9}{17} =8 \frac{9}{17} [/latex]