$$\frac{4}{x}+\frac{8}{x}+2 = 4$$

$$ \begin{aligned} \frac{4}{x}+\frac{8}{x}+2 &= 4&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{4}{x}+x\cdot\frac{8}{x}+x\cdot2 &= x\cdot4&& \text{cancel out the denominators} \\[1 em]4+8+2x &= 4x&& \text{simplify left side} \\[1 em]2x+12 &= 4x&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]2x-4x &= -12&& \text{simplify left side} \\[1 em]-2x &= -12&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-12}{-2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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