$$3x+4(2x+3) = 5x+2$$

$$ \begin{aligned} 3x+4(2x+3) &= 5x+2&& \text{simplify left side} \\[1 em]3x+8x+12 &= 5x+2&& \\[1 em]11x+12 &= 5x+2&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]11x-5x &= 2-12&& \text{simplify left and right hand side} \\[1 em]6x &= -10&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{10}{6}&& \\[1 em]x &= -\frac{5}{3}&& \\[1 em] \end{aligned} $$

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