$$ \begin{aligned} 2(5x+6) &= 8(x-5)&& \text{simplify left and right hand side} \\[1 em]10x+12 &= 8x-40&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]10x-8x &= -40-12&& \text{simplify left and right hand side} \\[1 em]2x &= -52&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{52}{2}&& \\[1 em]x &= -26&& \\[1 em] \end{aligned} $$

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