$$ \begin{aligned} 51 &= 9-3x&& \text{ swap the left and right side of the equation } \\[1 em]9-3x &= 51&& \text{ move 9 to the right } \\[1 em]-3x &= 51-9&& \\[1 em]-3x &= 42&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{42}{3}&& \\[1 em]x &= -14&& \\[1 em] \end{aligned} $$