$$ \begin{aligned} 7 \cdot \frac{x}{2}+(-11) &= 3&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot7 \cdot \frac{x}{2}+2\cdot(-11) &= 2\cdot3&& \text{cancel out the denominators} \\[1 em]7x+(-22) &= 6&& \text{ move -22 to the right } \\[1 em]7x &= 6+22&& \\[1 em]7x &= 28&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{28}{7}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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