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

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