\(-1\frac{5}{27}-\left(3x-\frac{7}{9}\right)^3=-\frac{24}{27}\)
\(\left(3x-\frac{7}{9}\right)^3=\frac{-32}{27}-\left(-\frac{24}{27}\right)\)
\(\left(3x-\frac{7}{9}\right)^3=\frac{-8}{27}=\left(\frac{-2}{3}\right)^3\)
\(\Rightarrow3x-\frac{7}{9}=\frac{-2}{3}\)
\(3x=\frac{-2}{3}+\frac{7}{9}\)
\(3x=\frac{1}{9}\)
\(x=\frac{1}{9}:3\)
\(x=\frac{1}{27}\)
(3x-7/9)3 = -32/27-(-24/27)
(3x-7/9)3 = -8/27
(3x)3-(7/9)3 = -8/27
(3x3)-343/729 = -8/27
(3x)3 = -8/27+ -343/729
(3x)3 = -559/729
33 *x3 = -559/729
9*x3 = -559/729
x3 = -559/729: 9
x3 = -559/6561
x = -0,4400282812