$$ \begin{aligned} 3x+27 &= 8x+21&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 27 }$ to the right} \\[1 em]3x-8x &= 21-27&& \text{simplify left and right hand side} \\[1 em]-5x &= -6&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-6}{-5}&& \\[1 em]x &= \frac{6}{5}&& \\[1 em] \end{aligned} $$
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