\(\left(4,5-2x\right)\cdot1\dfrac{4}{5}=\dfrac{11}{14}\)
\(\left(\dfrac{9}{2}-2x\right)\cdot\dfrac{9}{5}=\dfrac{11}{14}\)
\(\dfrac{9}{2}-2x=\dfrac{11}{14}:\dfrac{9}{5}\)
\(\dfrac{9}{2}-2x=\dfrac{55}{126}\)
\(2x=\dfrac{9}{2}-\dfrac{55}{126}\)
\(2x=\dfrac{256}{63}\)
\(x=\dfrac{256}{63}:2\)
\(x=\dfrac{128}{63}\)