Question
$$10^5x = 10^2x-7$$
Answer
$$ x = -\dfrac{7}{99900} $$
Explanation
$$ \begin{aligned} 10^5x &= 10^2x-7&& \text{simplify left and right hand side} \\[1 em]100000x &= 100x-7&& \text{move the $ \color{blue}{ 100x } $ to the left side} \\[1 em]100000x-100x &= -7&& \text{simplify left side} \\[1 em]99900x &= -7&& \text{ divide both sides by $ 99900 $ } \\[1 em]x &= -\frac{7}{99900}&& \\[1 em] \end{aligned} $$
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