$$ \begin{aligned} 3 \cdot \frac{x}{4}+4 &= x&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot3 \cdot \frac{x}{4}+4\cdot4 &= 4x&& \text{cancel out the denominators} \\[1 em]3x+16 &= 4x&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]3x-4x &= -16&& \text{simplify left side} \\[1 em]-x &= -16&& \text{switch signs on both sides} \\[1 em]x &= 16&& \\[1 em] \end{aligned} $$

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