$$ \begin{aligned} 8 &= \frac{x}{10}+2&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot8 &= 10 \cdot \frac{x}{10}+10\cdot2&& \text{cancel out the denominators} \\[1 em]80 &= x+20&& \text{ swap the left and right side of the equation } \\[1 em]x+20 &= 80&& \text{ move 20 to the right } \\[1 em]x &= 80-20&& \\[1 em]x &= 60&& \\[1 em]x &= 60&& \\[1 em] \end{aligned} $$
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