$$ \begin{aligned} 17x\cdot3+13x\cdot2+12x+11-16x\cdot3+12x\cdot2-17x-21 &= 0&& \text{simplify left side} \\[1 em]51x+26x+12x+11-48x+24x-17x-21 &= 0&& \\[1 em]89x+11-41x-21 &= 0&& \\[1 em]48x-10 &= 0&& \text{ move the constants to the right } \\[1 em]48x &= 10&& \text{ divide both sides by $ 48 $ } \\[1 em]x &= \frac{10}{48}&& \\[1 em]x &= \frac{5}{24}&& \\[1 em] \end{aligned} $$

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