$$ \begin{aligned} \frac{x}{4}+1 &= 1&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x}{4}+4\cdot1 &= 4\cdot1&& \text{cancel out the denominators} \\[1 em]x+4 &= 4&& \text{ move 4 to the right } \\[1 em]x &= 4-4&& \\[1 em]x &= 0&& \text{ divide both sides by $ 1 $ } \\[1 em]x &= \frac{0}{1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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