Question
$$4x+6 = 1-6x$$
Answer
$$ x = -\dfrac{1}{2} $$
Explanation
$$ \begin{aligned} 4x+6 &= 1-6x&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]4x+6x &= 1-6&& \text{simplify left and right hand side} \\[1 em]10x &= -5&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= -\frac{5}{10}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$
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