$$4(x-2)+7 = 2(3x+1)$$

$$ \begin{aligned} 4(x-2)+7 &= 2(3x+1)&& \text{simplify left and right hand side} \\[1 em]4x-8+7 &= 6x+2&& \\[1 em]4x-1 &= 6x+2&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]4x-6x &= 2+1&& \text{simplify left and right hand side} \\[1 em]-2x &= 3&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{3}{2}&& \\[1 em] \end{aligned} $$

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