$$\frac{1}{2}(x+1) = 3$$

$$ \begin{aligned} \frac{1}{2}(x+1) &= 3&& \text{simplify left side} \\[1 em]\frac{x+1}{2} &= 3&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x+1}{2} &= 2\cdot3&& \text{cancel out the denominators} \\[1 em]x+1 &= 6&& \text{ move 1 to the right } \\[1 em]x &= 6-1&& \\[1 em]x &= 5&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

This page was created using