1. **State the problem:** Solve the equation $X - \frac{8}{5} = -1.6\sim 5$. 2. **Clarify the problem:** The symbol $\sim$ is unclear in this context. Assuming it means approximately equal, we interpret the equation as $X - \frac{8}{5} = -1.6$. 3. **Recall the formula:** To solve for $X$, add $\frac{8}{5}$ to both sides: $$X = -1.6 + \frac{8}{5}$$ 4. **Convert decimals and fractions:** $$-1.6 = -\frac{8}{5}$$ 5. **Substitute and simplify:** $$X = -\frac{8}{5} + \frac{8}{5}$$ 6. **Cancel terms:** $$X = \cancel{-\frac{8}{5}} + \cancel{\frac{8}{5}} = 0$$ 7. **Conclusion:** The solution is $X = 0$. This means the value of $X$ that satisfies the equation is zero.