$$ \begin{aligned} 4x-35 &= 9x&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -35 }$ to the right} \\[1 em]4x-9x &= 35&& \text{simplify left side} \\[1 em]-5x &= 35&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{35}{5}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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