$$2x+7 = 17-8x$$
Answer
$$ x = 1 $$
Explanation
$$ \begin{aligned} 2x+7 &= 17-8x&& \text{move the $ \color{blue}{ -8x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]2x+8x &= 17-7&& \text{simplify left and right hand side} \\[1 em]10x &= 10&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{10}{10}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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