$$ \begin{aligned} \frac{33}{2}+2x &= \frac{15}{2}+4x&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot\frac{33}{2}+2\cdot2x &= 2\cdot\frac{15}{2}+2\cdot4x&& \text{cancel out the denominators} \\[1 em]33+4x &= 15+8x&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 33 }$ to the right} \\[1 em]4x-8x &= 15-33&& \text{simplify left and right hand side} \\[1 em]-4x &= -18&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-18}{-4}&& \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$

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