a) \(\dfrac{2x-1}{15}-\dfrac{3-x}{3}=1\)
\(\Leftrightarrow2x-1-5\left(3-x\right)=15\)
\(\Leftrightarrow2x-1-15+5x-15=0\)
\(\Leftrightarrow x=\dfrac{31}{7}\)
b) \(\dfrac{17-2}{18}=2x+\dfrac{10-x}{6}\)
\(\Leftrightarrow17-2=36x+3\left(10-x\right)\)
\(\Leftrightarrow36x+30-3x-15=0\)
\(\Leftrightarrow x=\dfrac{-5}{11}\)