Question
$$3x+3 = x+1$$
Answer
$$ x = -1 $$
Explanation
$$ \begin{aligned} 3x+3 &= x+1&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]3x-x &= 1-3&& \text{simplify left and right hand side} \\[1 em]2x &= -2&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{2}{2}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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