Question
$$4x+9 = 2x-5$$
Answer
$$ x = -7 $$
Explanation
$$ \begin{aligned} 4x+9 &= 2x-5&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]4x-2x &= -5-9&& \text{simplify left and right hand side} \\[1 em]2x &= -14&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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