$$ \begin{aligned} 6x+\frac{5}{4} &= 2x+\frac{3}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot6x+4\cdot\frac{5}{4} &= 4\cdot2x+4\cdot\frac{3}{4}&& \text{cancel out the denominators} \\[1 em]24x+5 &= 8x+3&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]24x-8x &= 3-5&& \text{simplify left and right hand side} \\[1 em]16x &= -2&& \text{ divide both sides by $ 16 $ } \\[1 em]x &= -\frac{2}{16}&& \\[1 em]x &= -\frac{1}{8}&& \\[1 em] \end{aligned} $$

This page was created using