$$ \begin{aligned} 5(2x-3) &= 8x+3&& \text{simplify left side} \\[1 em]10x-15 &= 8x+3&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -15 }$ to the right} \\[1 em]10x-8x &= 3+15&& \text{simplify left and right hand side} \\[1 em]2x &= 18&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{18}{2}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$

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