\(187-\left\{\left[497-\left(8x+11\right):x\right]:3-78\right\}=150\)
\(\left[497-\left(8x+11\right):x\right]:3-78=37\)
\(\left[497-\left(8x+11\right):x\right]:3=115\)
\(497-\left(8x+11\right):x=345\)
\(8+\frac{11}{x}=152\)
\(\frac{11}{x}=144\)
\(x=\frac{11}{144}\)