$$ \begin{aligned} \frac{1}{4}\cdot(4-8x)+5x-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{1}{4}\cdot(4-8x)+4\cdot5x-4\cdot3 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]4-8x+20x-12 &= 0&& \text{simplify left side} \\[1 em]12x-8 &= 0&& \text{ move the constants to the right } \\[1 em]12x &= 8&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{8}{12}&& \\[1 em]x &= \frac{2}{3}&& \\[1 em] \end{aligned} $$

This page was created using