$$3 = \frac{7}{2}(3x-4)$$

$$ \begin{aligned} 3 &= \frac{7}{2}(3x-4)&& \text{simplify right side} \\[1 em]3 &= \frac{21x-28}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3 &= 2 \cdot \frac{21x-28}{2}&& \text{cancel out the denominators} \\[1 em]6 &= 21x-28&& \text{ swap the left and right side of the equation } \\[1 em]21x-28 &= 6&& \text{ move -28 to the right } \\[1 em]21x &= 6+28&& \\[1 em]21x &= 34&& \text{ divide both sides by $ 21 $ } \\[1 em]x &= \frac{34}{21}&& \\[1 em] \end{aligned} $$

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