$$ \begin{aligned} -1 &= 5+\frac{x}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot(-1) &= 6\cdot5+6 \cdot \frac{x}{6}&& \text{cancel out the denominators} \\[1 em]-6 &= 30+x&& \text{ swap the left and right side of the equation } \\[1 em]30+x &= -6&& \text{ move 30 to the right } \\[1 em]x &= -6-30&& \\[1 em]x &= -36&& \\[1 em]x &= -36&& \\[1 em] \end{aligned} $$

This page was created using