$$ \begin{aligned} -4\cdot(4+5) &= 10x-(12-14x)&& \text{simplify left and right hand side} \\[1 em]-4\cdot9 &= 10x-12+14x&& \\[1 em]-36 &= 24x-12&& \text{ swap the left and right side of the equation } \\[1 em]24x-12 &= -36&& \text{ move -12 to the right } \\[1 em]24x &= -36+12&& \\[1 em]24x &= -24&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= -\frac{24}{24}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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