$$ \begin{aligned} 2x-\frac{1}{2} &= \frac{51}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot2x-2\cdot\frac{1}{2} &= 2\cdot\frac{51}{2}&& \text{cancel out the denominators} \\[1 em]4x-1 &= 51&& \text{ move -1 to the right } \\[1 em]4x &= 51+1&& \\[1 em]4x &= 52&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{52}{4}&& \\[1 em]x &= 13&& \\[1 em] \end{aligned} $$

This page was created using