$$\frac{3}{4}x+1 = 10$$

$$ \begin{aligned} \frac{3}{4}x+1 &= 10&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}x+4\cdot1 &= 4\cdot10&& \text{cancel out the denominators} \\[1 em]3x+4 &= 40&& \text{ move 4 to the right } \\[1 em]3x &= 40-4&& \\[1 em]3x &= 36&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{36}{3}&& \\[1 em]x &= 12&& \\[1 em] \end{aligned} $$

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