$$ \begin{aligned} 7x-\frac{3}{8} &= 6x-\frac{5}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot7x-8\cdot\frac{3}{8} &= 8\cdot6x-8\cdot\frac{5}{8}&& \text{cancel out the denominators} \\[1 em]56x-3 &= 48x-5&& \text{move the $ \color{blue}{ 48x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]56x-48x &= -5+3&& \text{simplify left and right hand side} \\[1 em]8x &= -2&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{2}{8}&& \\[1 em]x &= -\frac{1}{4}&& \\[1 em] \end{aligned} $$

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