$$ \begin{aligned} \frac{1}{2}x+x-5+x &= 180&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x+2(x-5)+2x &= 2\cdot180&& \text{cancel out the denominators} \\[1 em]x+2x-10+2x &= 360&& \text{simplify left side} \\[1 em]3x-10+2x &= 360&& \\[1 em]5x-10 &= 360&& \text{ move -10 to the right } \\[1 em]5x &= 360+10&& \\[1 em]5x &= 370&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{370}{5}&& \\[1 em]x &= 74&& \\[1 em] \end{aligned} $$

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