$$ \begin{aligned} 6x-7 \cdot \frac{x^1}{2}-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot6x-2\cdot7 \cdot \frac{x^1}{2}-2\cdot3 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]12x-7x-6 &= 0&& \text{simplify left side} \\[1 em]5x-6 &= 0&& \text{ move the constants to the right } \\[1 em]5x &= 6&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{6}{5}&& \\[1 em] \end{aligned} $$

This page was created using