$$ \begin{aligned} 2x-x+2 &= \frac{6}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot2x-5\cdot1x+5\cdot2 &= 5\cdot\frac{6}{5}&& \text{cancel out the denominators} \\[1 em]10x-5x+10 &= 6&& \text{simplify left side} \\[1 em]5x+10 &= 6&& \text{ move 10 to the right } \\[1 em]5x &= 6-10&& \\[1 em]5x &= -4&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{4}{5}&& \\[1 em] \end{aligned} $$

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