$$\frac{2}{5}x = 3x-26$$

$$ \begin{aligned} \frac{2}{5}x &= 3x-26&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{2}{5}x &= 5\cdot3x-5\cdot26&& \text{cancel out the denominators} \\[1 em]2x &= 15x-130&& \text{move the $ \color{blue}{ 15x } $ to the left side} \\[1 em]2x-15x &= -130&& \text{simplify left side} \\[1 em]-13x &= -130&& \text{ divide both sides by $ -13 $ } \\[1 em]x &= \frac{-130}{-13}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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