$$ \begin{aligned} x-\frac{5}{4} &= \frac{2}{7}&& \text{multiply ALL terms by } \color{blue}{ 28 }. \\[1 em]28x-28\cdot\frac{5}{4} &= 28\cdot\frac{2}{7}&& \text{cancel out the denominators} \\[1 em]28x-35 &= 8&& \text{ move -35 to the right } \\[1 em]28x &= 8+35&& \\[1 em]28x &= 43&& \text{ divide both sides by $ 28 $ } \\[1 em]x &= \frac{43}{28}&& \\[1 em] \end{aligned} $$

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