$$ \begin{aligned} 4 \cdot \frac{x}{14}-\frac{5}{7} &= \frac{3}{7}&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14\cdot4 \cdot \frac{x}{14}-14\cdot\frac{5}{7} &= 14\cdot\frac{3}{7}&& \text{cancel out the denominators} \\[1 em]4x-10 &= 6&& \text{ move -10 to the right } \\[1 em]4x &= 6+10&& \\[1 em]4x &= 16&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{16}{4}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

This page was created using