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

$$ \begin{aligned} 5(x+3) &= 2x+3&& \text{simplify left side} \\[1 em]5x+15 &= 2x+3&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]5x-2x &= 3-15&& \text{simplify left and right hand side} \\[1 em]3x &= -12&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{12}{3}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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