Question
$$6x+7 = 8x-13$$
Answer
$$ x = 10 $$
Explanation
$$ \begin{aligned} 6x+7 &= 8x-13&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]6x-8x &= -13-7&& \text{simplify left and right hand side} \\[1 em]-2x &= -20&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-20}{-2}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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