$$5x+\frac{3}{2} = -1$$

$$ \begin{aligned} 5x+\frac{3}{2} &= -1&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot5x+2\cdot\frac{3}{2} &= 2\cdot(-1)&& \text{cancel out the denominators} \\[1 em]10x+3 &= -2&& \text{ move 3 to the right } \\[1 em]10x &= -2-3&& \\[1 em]10x &= -5&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= -\frac{5}{10}&& \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$

This page was created using