$$3x+1+15 = 7x+1$$

$$ \begin{aligned} 3x+1+15 &= 7x+1&& \text{simplify left side} \\[1 em]3x+16 &= 7x+1&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]3x-7x &= 1-16&& \text{simplify left and right hand side} \\[1 em]-4x &= -15&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-15}{-4}&& \\[1 em]x &= \frac{15}{4}&& \\[1 em] \end{aligned} $$

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