$$ \begin{aligned} \frac{4}{5}x+1 &= 4&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{4}{5}x+5\cdot1 &= 5\cdot4&& \text{cancel out the denominators} \\[1 em]4x+5 &= 20&& \text{ move 5 to the right } \\[1 em]4x &= 20-5&& \\[1 em]4x &= 15&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{15}{4}&& \\[1 em] \end{aligned} $$

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