$$ \begin{aligned} -9x+46 &= -2(x-9)&& \text{simplify right side} \\[1 em]-9x+46 &= -(2x-18)&& \\[1 em]-9x+46 &= -2x+18&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ 46 }$ to the right} \\[1 em]-9x+2x &= 18-46&& \text{simplify left and right hand side} \\[1 em]-7x &= -28&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-28}{-7}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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