$$ \begin{aligned} \frac{17}{2}x+35 &= 154&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{17}{2}x+2\cdot35 &= 2\cdot154&& \text{cancel out the denominators} \\[1 em]17x+70 &= 308&& \text{ move 70 to the right } \\[1 em]17x &= 308-70&& \\[1 em]17x &= 238&& \text{ divide both sides by $ 17 $ } \\[1 em]x &= \frac{238}{17}&& \\[1 em]x &= 14&& \\[1 em] \end{aligned} $$

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