$$ \begin{aligned} 2 \cdot \frac{x}{7}+45 &= 198&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot2 \cdot \frac{x}{7}+7\cdot45 &= 7\cdot198&& \text{cancel out the denominators} \\[1 em]2x+315 &= 1386&& \text{ move 315 to the right } \\[1 em]2x &= 1386-315&& \\[1 em]2x &= 1071&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{1071}{2}&& \\[1 em] \end{aligned} $$

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