Question
$$32x-14 = -8x-10$$
Answer
$$ x = \dfrac{1}{10} $$
Explanation
$$ \begin{aligned} 32x-14 &= -8x-10&& \text{move the $ \color{blue}{ -8x } $ to the left side and $ \color{blue}{ -14 }$ to the right} \\[1 em]32x+8x &= -10+14&& \text{simplify left and right hand side} \\[1 em]40x &= 4&& \text{ divide both sides by $ 40 $ } \\[1 em]x &= \frac{4}{40}&& \\[1 em]x &= \frac{1}{10}&& \\[1 em] \end{aligned} $$
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