[tex]\text{Notez suma initiala cu x:}\\
\dfrac{3x}{8}+\dfrac{4}{15}\left(x-\dfrac{3x}{8}\right)+55=x\\
\dfrac{3x}{8}+\dfrac{4}{15}\cdot \dfrac{5x}{8}+55=x\\
\dfrac{3x}{8}+\dfrac{x}{6}+55=x|\cdot 24\\
9x+4x+1320=24x\\
13x+1320=24x\\
11x=1320\\
x=120\ lei[/tex]