$$ \begin{aligned} 10 &= \frac{3}{2}(x-2)&& \text{simplify right side} \\[1 em]10 &= \frac{3x-6}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot10 &= 2 \cdot \frac{3x-6}{2}&& \text{cancel out the denominators} \\[1 em]20 &= 3x-6&& \text{ swap the left and right side of the equation } \\[1 em]3x-6 &= 20&& \text{ move -6 to the right } \\[1 em]3x &= 20+6&& \\[1 em]3x &= 26&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{26}{3}&& \\[1 em] \end{aligned} $$

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