1) x + 8 4/29 = 12; 2) 5 7/18 − (x − 2 5/18) = 1

1) \(x+8\dfrac{4}{29}=12\)

\[x=12-8\dfrac{4}{29}=3\dfrac{25}{29}.\]

Ответ: \(x=3\dfrac{25}{29}\).

2) \(5\dfrac{7}{18}-(x-2\dfrac{5}{18})=1\)

Раскроем скобки:

\[5\dfrac{7}{18}-x+2\dfrac{5}{18}=1.\]

\[7\dfrac{12}{18}-x=1,\qquad 7\dfrac{2}{3}-x=1.\]

\[-x=1-7\dfrac{2}{3}=-6\dfrac{2}{3},\qquad x=6\dfrac{2}{3}.\]

Ответ: \(x=6\dfrac{2}{3}\).