$$ \begin{aligned} \frac{6x-4}{4} &= 7-\frac{x}{2}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{6x-4}{4} &= 4\cdot7-4 \cdot \frac{x}{2}&& \text{cancel out the denominators} \\[1 em]6x-4 &= 28-2x&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]6x+2x &= 28+4&& \text{simplify left and right hand side} \\[1 em]8x &= 32&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{32}{8}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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