$$ \begin{aligned} 1 &= \frac{3}{2}(5x-10)&& \text{simplify right side} \\[1 em]1 &= \frac{15x-30}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot1 &= 2 \cdot \frac{15x-30}{2}&& \text{cancel out the denominators} \\[1 em]2 &= 15x-30&& \text{ swap the left and right side of the equation } \\[1 em]15x-30 &= 2&& \text{ move -30 to the right } \\[1 em]15x &= 2+30&& \\[1 em]15x &= 32&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{32}{15}&& \\[1 em] \end{aligned} $$

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