Question
$$28x+1 = x-9$$
Answer
$$ x = -\dfrac{10}{27} $$
Explanation
$$ \begin{aligned} 28x+1 &= x-9&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]28x-x &= -9-1&& \text{simplify left and right hand side} \\[1 em]27x &= -10&& \text{ divide both sides by $ 27 $ } \\[1 em]x &= -\frac{10}{27}&& \\[1 em] \end{aligned} $$
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