Question
$$7x+9 = 3x+1$$
Answer
$$ x = -2 $$
Explanation
$$ \begin{aligned} 7x+9 &= 3x+1&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]7x-3x &= 1-9&& \text{simplify left and right hand side} \\[1 em]4x &= -8&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{8}{4}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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