$$ \begin{aligned} \frac{2}{5}x-1+\frac{1}{2}x+\frac{1}{10}x+6 &= 29&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{2}{5}x-10\cdot1+10\frac{1}{2}x+10\frac{1}{10}x+10\cdot6 &= 10\cdot29&& \text{cancel out the denominators} \\[1 em]4x-10+5x+x+60 &= 290&& \text{simplify left side} \\[1 em]10x+50 &= 290&& \text{ move 50 to the right } \\[1 em]10x &= 290-50&& \\[1 em]10x &= 240&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{240}{10}&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$

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