$$ \begin{aligned} 3x+5 &= \frac{183}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot3x+10\cdot5 &= 10\cdot\frac{183}{10}&& \text{cancel out the denominators} \\[1 em]30x+50 &= 183&& \text{ move 50 to the right } \\[1 em]30x &= 183-50&& \\[1 em]30x &= 133&& \text{ divide both sides by $ 30 $ } \\[1 em]x &= \frac{133}{30}&& \\[1 em] \end{aligned} $$

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