$$ \begin{aligned} 5x+12 &= \frac{1}{2}\cdot94&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot5x+2\cdot12 &= 2 \cdot \frac{1}{2}\cdot94&& \text{cancel out the denominators} \\[1 em]10x+24 &= 94&& \text{ move 24 to the right } \\[1 em]10x &= 94-24&& \\[1 em]10x &= 70&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{70}{10}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$

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