$$ \begin{aligned} x+1+4x &= 11+12x-3&& \text{simplify left and right hand side} \\[1 em]5x+1 &= 12x+8&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]5x-12x &= 8-1&& \text{simplify left and right hand side} \\[1 em]-7x &= 7&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= -\frac{7}{7}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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