$$ \begin{aligned} \frac{42}{7}x\cdot3-\frac{4}{2}+10 &= 0&& \text{multiply ALL terms by } \color{blue}{ 14 }. \\[1 em]14 \cdot \frac{42}{7}x\cdot3-14\cdot\frac{4}{2}+14\cdot10 &= 14\cdot0&& \text{cancel out the denominators} \\[1 em]252x-28+140 &= 0&& \text{simplify left side} \\[1 em]252x+112 &= 0&& \text{ move the constants to the right } \\[1 em]252x &= -112&& \text{ divide both sides by $ 252 $ } \\[1 em]x &= -\frac{112}{252}&& \\[1 em]x &= -\frac{4}{9}&& \\[1 em] \end{aligned} $$

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