$$ \begin{aligned} 3x\cdot4-5x\cdot3-6x\cdot2-9x+3 &= 0&& \text{simplify left side} \\[1 em]3x\cdot4-5x\cdot3-6x\cdot2-9x+3 &= 0&& \\[1 em]12x-15x-12x-9x+3 &= 0&& \\[1 em]12x-15x-12x-9x+3 &= 0&& \\[1 em]-24x+3 &= 0&& \text{ move the constants to the right } \\[1 em]-24x &= -3&& \text{ divide both sides by $ -24 $ } \\[1 em]x &= \frac{-3}{-24}&& \\[1 em]x &= \frac{1}{8}&& \\[1 em] \end{aligned} $$

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