$$ \begin{aligned} 4(3x-1) &= 2(5x+1)&& \text{simplify left and right hand side} \\[1 em]12x-4 &= 10x+2&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]12x-10x &= 2+4&& \text{simplify left and right hand side} \\[1 em]2x &= 6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{6}{2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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