$$ \begin{aligned} 4 &= \frac{1}{2}(7x+6)&& \text{simplify right side} \\[1 em]4 &= \frac{7x+6}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot4 &= 2 \cdot \frac{7x+6}{2}&& \text{cancel out the denominators} \\[1 em]8 &= 7x+6&& \text{ swap the left and right side of the equation } \\[1 em]7x+6 &= 8&& \text{ move 6 to the right } \\[1 em]7x &= 8-6&& \\[1 em]7x &= 2&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{2}{7}&& \\[1 em] \end{aligned} $$

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