$$24(x-6) = 4(x+9)$$

$$ \begin{aligned} 24(x-6) &= 4(x+9)&& \text{simplify left and right hand side} \\[1 em]24x-144 &= 4x+36&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -144 }$ to the right} \\[1 em]24x-4x &= 36+144&& \text{simplify left and right hand side} \\[1 em]20x &= 180&& \text{ divide both sides by $ 20 $ } \\[1 em]x &= \frac{180}{20}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$

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