$$ \begin{aligned} 17x+13\cdot\frac{1}{2} &= 17x+13\cdot\frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot17x+2\cdot13\cdot\frac{1}{2} &= 2\cdot17x+2\cdot13\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]34x+13 &= 34x+13&& \text{move the $ \color{blue}{ 34x } $ to the left side and $ \color{blue}{ 13 }$ to the right} \\[1 em]34x-34x &= 13-13&& \text{simplify left and right hand side} \\[1 em]34x-34x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$

This page was created using