Question
$$4x-6 = -10x$$
Answer
$$ x = \dfrac{3}{7} $$
Explanation
$$ \begin{aligned} 4x-6 &= -10x&& \text{move the $ \color{blue}{ -10x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]4x+10x &= 6&& \text{simplify left side} \\[1 em]14x &= 6&& \text{ divide both sides by $ 14 $ } \\[1 em]x &= \frac{6}{14}&& \\[1 em]x &= \frac{3}{7}&& \\[1 em] \end{aligned} $$
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