What is the value of $$x$$, if $$5\left( {1 - \frac{x}{5}} \right) - \left( {5 - x} \right) - \frac{1}{{200}}\,{\text{of }}\left( {20 - x} \right) = 0.08?$$

Solution (By Examveda Team)

$$\eqalign{ & 5\left( {1 - \frac{x}{5}} \right) - \left( {5 - x} \right) - \frac{1}{{200}}\,{\text{of }}\left( {20 - x} \right) = 0.08 \cr & \Rightarrow 5 - x - 5 + x - \frac{{20 - x}}{{200}} = 0.08 \cr & \Rightarrow - \frac{{20 - x}}{{200}} = 0.08 \cr & \Rightarrow x - 20 = 0.08 \times 200 \cr & \Rightarrow x = 16 + 20 \cr & \Rightarrow x = 36 \cr} $$