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