$$ \begin{aligned} 5(2x-1) &= 3x+12&& \text{simplify left side} \\[1 em]10x-5 &= 3x+12&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -5 }$ to the right} \\[1 em]10x-3x &= 12+5&& \text{simplify left and right hand side} \\[1 em]7x &= 17&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{17}{7}&& \\[1 em] \end{aligned} $$

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