$$ \begin{aligned} 2 \cdot \frac{x+5}{4} &= 5x-2&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2 \cdot \frac{x+5}{4} &= 4\cdot5x-4\cdot2&& \text{cancel out the denominators} \\[1 em]2x+10 &= 20x-8&& \text{move the $ \color{blue}{ 20x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]2x-20x &= -8-10&& \text{simplify left and right hand side} \\[1 em]-18x &= -18&& \text{ divide both sides by $ -18 $ } \\[1 em]x &= \frac{-18}{-18}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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