$$ \begin{aligned} 52-6x &= 10x&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 52 }$ to the right} \\[1 em]-6x-10x &= -52&& \text{simplify left side} \\[1 em]-16x &= -52&& \text{ divide both sides by $ -16 $ } \\[1 em]x &= \frac{-52}{-16}&& \\[1 em]x &= \frac{13}{4}&& \\[1 em] \end{aligned} $$
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