Question
$$-7x+8 = 4x+10$$
Answer
$$ x = -\dfrac{2}{11} $$
Explanation
$$ \begin{aligned} -7x+8 &= 4x+10&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]-7x-4x &= 10-8&& \text{simplify left and right hand side} \\[1 em]-11x &= 2&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= -\frac{2}{11}&& \\[1 em] \end{aligned} $$
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