$$65 = 457x\cdot65-378$$
Answer
$$ x = \frac{443}{29705} $$
Explanation
$$ \begin{aligned} 65 &= 457x\cdot65-378&& \text{simplify right side} \\[1 em]65 &= 29705x-378&& \text{ swap the left and right side of the equation } \\[1 em]29705x-378 &= 65&& \text{ move -378 to the right } \\[1 em]29705x &= 65+378&& \\[1 em]29705x &= 443&& \text{ divide both sides by $ 29705 $ } \\[1 em]x &= \frac{443}{29705}&& \\[1 em] \end{aligned} $$
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