$$ \begin{aligned} 5x+46 &= 2(x+5)+9&& \text{simplify right side} \\[1 em]5x+46 &= 2x+10+9&& \\[1 em]5x+46 &= 2x+19&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 46 }$ to the right} \\[1 em]5x-2x &= 19-46&& \text{simplify left and right hand side} \\[1 em]3x &= -27&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{27}{3}&& \\[1 em]x &= -9&& \\[1 em] \end{aligned} $$

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