$$ \begin{aligned} 3x+8-6(x+1) &= 5x+7&& \text{simplify left side} \\[1 em]3x+8-(6x+6) &= 5x+7&& \\[1 em]3x+8-6x-6 &= 5x+7&& \\[1 em]-3x+2 &= 5x+7&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-3x-5x &= 7-2&& \text{simplify left and right hand side} \\[1 em]-8x &= 5&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= -\frac{5}{8}&& \\[1 em] \end{aligned} $$

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