$$ \begin{aligned} 9 &= \frac{5}{2}(3x+10)&& \text{simplify right side} \\[1 em]9 &= \frac{15x+50}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot9 &= 2 \cdot \frac{15x+50}{2}&& \text{cancel out the denominators} \\[1 em]18 &= 15x+50&& \text{ swap the left and right side of the equation } \\[1 em]15x+50 &= 18&& \text{ move 50 to the right } \\[1 em]15x &= 18-50&& \\[1 em]15x &= -32&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= -\frac{32}{15}&& \\[1 em] \end{aligned} $$

This page was created using