$$ \begin{aligned} 13x+3(x+11) &= 8x-7&& \text{simplify left side} \\[1 em]13x+3x+33 &= 8x-7&& \\[1 em]16x+33 &= 8x-7&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 33 }$ to the right} \\[1 em]16x-8x &= -7-33&& \text{simplify left and right hand side} \\[1 em]8x &= -40&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{40}{8}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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