$$ \begin{aligned} 7x+x+5 &= 5x+4x&& \text{simplify left and right hand side} \\[1 em]8x+5 &= 9x&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]8x-9x &= -5&& \text{simplify left side} \\[1 em]-x &= -5&& \text{switch signs on both sides} \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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