$$ \begin{aligned} 5x+3x-4 &= 5+7x&& \text{simplify left and right hand side} \\[1 em]8x-4 &= 7x+5&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]8x-7x &= 5+4&& \text{simplify left and right hand side} \\[1 em]x &= 9&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$
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