$$ \begin{aligned} 16 &= \frac{5}{6}(2x+15)&& \text{simplify right side} \\[1 em]16 &= \frac{10x+75}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot16 &= 6 \cdot \frac{10x+75}{6}&& \text{cancel out the denominators} \\[1 em]96 &= 10x+75&& \text{ swap the left and right side of the equation } \\[1 em]10x+75 &= 96&& \text{ move 75 to the right } \\[1 em]10x &= 96-75&& \\[1 em]10x &= 21&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{21}{10}&& \\[1 em] \end{aligned} $$

This page was created using