$$ \begin{aligned} 5x-42 &= 2x-1&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -42 }$ to the right} \\[1 em]5x-2x &= -1+42&& \text{simplify left and right hand side} \\[1 em]3x &= 41&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{41}{3}&& \\[1 em] \end{aligned} $$
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