$$-8x-7 = -13x+8$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} -8x-7 &= -13x+8&& \text{move the $ \color{blue}{ -13x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]-8x+13x &= 8+7&& \text{simplify left and right hand side} \\[1 em]5x &= 15&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{15}{5}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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