$$8x+19 = 13x-6$$
Answer
$$ x = 5 $$
Explanation
$$ \begin{aligned} 8x+19 &= 13x-6&& \text{move the $ \color{blue}{ 13x } $ to the left side and $ \color{blue}{ 19 }$ to the right} \\[1 em]8x-13x &= -6-19&& \text{simplify left and right hand side} \\[1 em]-5x &= -25&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-25}{-5}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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