The value of $$5 \div 5  of  5 \times 2 + 2 \div 2  of  2 \times 5 - (5 - 2) \div 6 \times 2$$ is:

$$5 \div 5 of 5 \times 2 + 2 \div 2 of 2 \times 5 - (5 - 2) \div 6 \times 2$$

$$\Rightarrow 5 \div 25 \times 2 + 2 \div 4 \times 5 - (5 - 2) \div 6 \times 2$$

$$\Rightarrow 5 \div 25 \times 2 + 2 \div 4 \times 5 - (3) \div 6 \times 2$$

$$\Rightarrow 5 \div 25 \times 2 +\dfrac{2}{4} \times 5 - (3) \div 6 \times 2$$

$$\Rightarrow \dfrac{5}{25} \times 2 +\dfrac{2}{4} \times 5 - \dfrac{3}{6} \times 2$$

$$\Rightarrow \dfrac{1}{5} \times 2 +\dfrac{1}{2} \times 5 - \dfrac{1}{2} \times 2$$

$$\Rightarrow \dfrac{1}{5} \times 2 +\dfrac{1}{2} \times 5 - \dfrac{1}{2} \times 2$$

$$\Rightarrow \dfrac{2}{5} +\dfrac{ 5 }{2} - \dfrac{2}{2}$$

$$\Rightarrow \dfrac{19}{10}$$