$$ \begin{aligned} \frac{4}{10}x-2x+\frac{6}{5} &= \frac{4}{5}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{4}{10}x-10\cdot2x+10\cdot\frac{6}{5} &= 10\cdot\frac{4}{5}&& \text{cancel out the denominators} \\[1 em]4x-20x+12 &= 8&& \text{simplify left side} \\[1 em]-16x+12 &= 8&& \text{ move 12 to the right } \\[1 em]-16x &= 8-12&& \\[1 em]-16x &= -4&& \text{ divide both sides by $ -16 $ } \\[1 em]x &= \frac{-4}{-16}&& \\[1 em]x &= \frac{1}{4}&& \\[1 em] \end{aligned} $$

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