Question
$$4x+9 = 6-x$$
Answer
$$ x = -\dfrac{3}{5} $$
Explanation
$$ \begin{aligned} 4x+9 &= 6-x&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]4x+x &= 6-9&& \text{simplify left and right hand side} \\[1 em]5x &= -3&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{3}{5}&& \\[1 em] \end{aligned} $$
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