$$ \begin{aligned} \frac{4x-6}{x-1} &= 0&& \text{multiply ALL terms by } \color{blue}{ x-1 }. \\[1 em](x-1)\frac{4x-6}{x-1} &= (x-1)\cdot0&& \text{cancel out the denominators} \\[1 em]4x-6 &= 0&& \text{ move the constants to the right } \\[1 em]4x &= 6&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{6}{4}&& \\[1 em]x &= \frac{3}{2}&& \\[1 em] \end{aligned} $$

This page was created using