( 3/4 . x - 0,54 ) . 4/9 + 8/75 = 4/15
( 3/4 . x - 0,54 ) . 4/9 = 4/15 - 8/75
( 3/4 . x - 0,54 ) . 4/9 = 4/25
3/4 . x - 0,54 = 4/25 : 4/9
3/4 . x - 0,54 = 9/25
3/4 . x = 9/25 + 0,54
3/4 . x = 9/10
x = 3/4 : 9/10
x = 5/6
\(\left(\frac{3}{4}x-0,54\right)\frac{4}{9}+\frac{8}{75}=\frac{4}{15}\)
\(\left(\frac{3}{4}x-\frac{27}{50}\right)\frac{4}{9}=\frac{4}{15}-\frac{8}{15}=\frac{-4}{15}\)
\(\frac{3}{4}x-\frac{27}{50}=\frac{-4}{15}:\frac{4}{9}=\frac{-3}{5}\)
\(\frac{3}{4}x=\frac{-3}{5}+\frac{27}{50}=\frac{-3}{50}\)
\(x=\frac{-3}{50}:\frac{3}{4}\)
\(x=\frac{-2}{25}\)