$$ \begin{aligned} 24 &= 13x-4x+9&& \text{simplify right side} \\[1 em]24 &= 9x+9&& \text{ swap the left and right side of the equation } \\[1 em]9x+9 &= 24&& \text{ move 9 to the right } \\[1 em]9x &= 24-9&& \\[1 em]9x &= 15&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{15}{9}&& \\[1 em]x &= \frac{5}{3}&& \\[1 em] \end{aligned} $$

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