$$-2^6 = -2^3+6$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -2^6 &= -2^3+6&& \text{simplify left and right hand side} \\[1 em]-64 &= -8+6&& \\[1 em]-64 &= -2&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -64 = -2 } $ is FALSE, we conclude that the equation has no solution.
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