$$ \begin{aligned} 15-x &= 6x+8&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]-x-6x &= 8-15&& \text{simplify left and right hand side} \\[1 em]-7x &= -7&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-7}{-7}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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