\(\left[\left(x:15\right)-34\right]\left(27+\frac{11}{3}\right)=14\)
\(\left[\left(x:15\right)-34\right].\frac{92}{3}=14\)
\(\left[\left(x:15\right)-34\right]=14:\frac{92}{3}\)
\(\left[\left(x:15\right)-34\right]=14.\frac{3}{92}\)
\(\left[\left(x:15\right)-34\right]=\frac{21}{46}\)
\(\left(x:15\right)=\frac{21}{46}+34\)
\(\left(x:16\right)=\frac{1585}{46}\)
\(x=\frac{1585}{46}\times15\)
\(x=\frac{23775}{46}\)
[(x : 15) - 34] (27 + 11/3) = 14
[(x : 15) - 34] x 92/3 = 14
[(x : 15) - 34] = 14 : 92/3
[(x : 15) - 34] = 21/46
x : 15 = 21/46 + 34
x : 15 = 1585/46
x = 1585/46 x 15
x = 23 775/46