$$ \begin{aligned} 13 &= \frac{7}{2}(5x+6)&& \text{simplify right side} \\[1 em]13 &= \frac{35x+42}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot13 &= 2 \cdot \frac{35x+42}{2}&& \text{cancel out the denominators} \\[1 em]26 &= 35x+42&& \text{ swap the left and right side of the equation } \\[1 em]35x+42 &= 26&& \text{ move 42 to the right } \\[1 em]35x &= 26-42&& \\[1 em]35x &= -16&& \text{ divide both sides by $ 35 $ } \\[1 em]x &= -\frac{16}{35}&& \\[1 em] \end{aligned} $$

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